 5.5.1: Finding and In Exercises 14, complete the table by identifying and ...
 5.5.2: Finding and In Exercises 14, complete the table by identifying and ...
 5.5.3: Finding and In Exercises 14, complete the table by identifying and ...
 5.5.4: Finding and In Exercises 14, complete the table by identifying and ...
 5.5.5: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.6: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.7: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.8: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.9: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.10: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.11: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.12: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.13: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.14: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.15: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.16: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.17: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.18: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.19: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.20: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.21: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.22: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.23: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.24: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.25: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.26: Finding an Indefinite Integral In Exercises 526, find the indefinit...
 5.5.27: Differential Equation In Exercises 2730, solve the differential equ...
 5.5.28: Differential Equation In Exercises 2730, solve the differential equ...
 5.5.29: Differential Equation In Exercises 2730, solve the differential equ...
 5.5.30: Differential Equation In Exercises 2730, solve the differential equ...
 5.5.31: Slope Field In Exercises 31 and 32, a differential equation, a poin...
 5.5.32: Slope Field In Exercises 31 and 32, a differential equation, a poin...
 5.5.33: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.34: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.35: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.36: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.37: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.38: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.39: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.40: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.41: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.42: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.43: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.44: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.45: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.46: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.47: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.48: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.49: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.50: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.51: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.52: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.53: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.54: Finding an Indefinite Integral In Exercises 33 54, find the indefin...
 5.5.55: Finding an Equation In Exercises 5560, find an equation for the fun...
 5.5.56: Finding an Equation In Exercises 5560, find an equation for the fun...
 5.5.57: Finding an Equation In Exercises 5560, find an equation for the fun...
 5.5.58: Finding an Equation In Exercises 5560, find an equation for the fun...
 5.5.59: Finding an Equation In Exercises 5560, find an equation for the fun...
 5.5.60: Finding an Equation In Exercises 5560, find an equation for the fun...
 5.5.61: Change of Variables In Exercises 6168, find the indefinite integral...
 5.5.62: Change of Variables In Exercises 6168, find the indefinite integral...
 5.5.63: Change of Variables In Exercises 6168, find the indefinite integral...
 5.5.64: Change of Variables In Exercises 6168, find the indefinite integral...
 5.5.65: Change of Variables In Exercises 6168, find the indefinite integral...
 5.5.66: Change of Variables In Exercises 6168, find the indefinite integral...
 5.5.67: Change of Variables In Exercises 6168, find the indefinite integral...
 5.5.68: Change of Variables In Exercises 6168, find the indefinite integral...
 5.5.69: Evaluating a Definite Integral In Exercises 6980, evaluate the defi...
 5.5.70: Evaluating a Definite Integral In Exercises 6980, evaluate the defi...
 5.5.71: Evaluating a Definite Integral In Exercises 6980, evaluate the defi...
 5.5.72: Evaluating a Definite Integral In Exercises 6980, evaluate the defi...
 5.5.73: Evaluating a Definite Integral In Exercises 6980, evaluate the defi...
 5.5.74: Evaluating a Definite Integral In Exercises 6980, evaluate the defi...
 5.5.75: Evaluating a Definite Integral In Exercises 6980, evaluate the defi...
 5.5.76: Evaluating a Definite Integral In Exercises 6980, evaluate the defi...
 5.5.77: Evaluating a Definite Integral In Exercises 6980, evaluate the defi...
 5.5.78: Evaluating a Definite Integral In Exercises 6980, evaluate the defi...
 5.5.79: Evaluating a Definite Integral In Exercises 6980, evaluate the defi...
 5.5.80: Evaluating a Definite Integral In Exercises 6980, evaluate the defi...
 5.5.81: Finding the Area of a Region In Exercises 8184, find the area of th...
 5.5.82: Finding the Area of a Region In Exercises 8184, find the area of th...
 5.5.83: Finding the Area of a Region In Exercises 8184, find the area of th...
 5.5.84: Finding the Area of a Region In Exercises 8184, find the area of th...
 5.5.85: Area In Exercises 8588, find the area of the region bounded by the ...
 5.5.86: Area In Exercises 8588, find the area of the region bounded by the ...
 5.5.87: Area In Exercises 8588, find the area of the region bounded by the ...
 5.5.88: Area In Exercises 8588, find the area of the region bounded by the ...
 5.5.89: Even and Odd Functions In Exercises 8992, evaluate the integral usi...
 5.5.90: Even and Odd Functions In Exercises 8992, evaluate the integral usi...
 5.5.91: Even and Odd Functions In Exercises 8992, evaluate the integral usi...
 5.5.92: Even and Odd Functions In Exercises 8992, evaluate the integral usi...
 5.5.93: Using an Even Function Use to evaluate each definite integral witho...
 5.5.94: Using Symmetry Use the symmetry of the graphs of the sine and cosin...
 5.5.95: Even and Odd Functions In Exercises 95 and 96, write the integral a...
 5.5.96: Even and Odd Functions In Exercises 95 and 96, write the integral a...
 5.5.97: Using Substitution Describe why where
 5.5.98: Analyzing the Integrand Without integrating, explain why
 5.5.99: Choosing an Integral You are asked to find one of the integrals. Wh...
 5.5.100: Comparing Methods Find the indefinite integral in two ways. Explain...
 5.5.101: Depreciation The rate of depreciation of a machine is inversely pro...
 5.5.102: HOW DO YOU SEE IT? The graph shows the flow rate of water at a pump...
 5.5.103: Sales The sales (in thousands of units) of a seasonal product are g...
 5.5.104: Electricity The oscillating current in an electrical circuit is whe...
 5.5.105: The probability that a person will remember between and of material...
 5.5.106: The probability that ore samples taken from a region contain betwee...
 5.5.107: Graphical Analysis Consider the functions and where and (a) Use a g...
 5.5.108: Finding a Limit Using a Definite Integral Find by evaluating an app...
 5.5.109: Rewriting Integrals (a) Show that (b) Show that
 5.5.110: Rewriting Integrals (a) Show that (b) Show that where is a positive...
 5.5.111: True or False? In Exercises 111116, determine whether the statement...
 5.5.112: True or False? In Exercises 111116, determine whether the statement...
 5.5.113: True or False? In Exercises 111116, determine whether the statement...
 5.5.114: True or False? In Exercises 111116, determine whether the statement...
 5.5.115: True or False? In Exercises 111116, determine whether the statement...
 5.5.116: True or False? In Exercises 111116, determine whether the statement...
 5.5.117: Rewriting Integrals Assume that is continuous everywhere and that i...
 5.5.118: Integration and Differentiation (a) Verify that (b) Use part (a) to...
 5.5.119: Proof Prove the second property of Theorem 5.16.
 5.5.120: Rewriting Integrals Show that if is continuous on the entire real n...
 5.5.121: If . . . , are real numbers satisfying show that the equation has a...
 5.5.122: Find all the continuous positive functions for such that where is a...
Solutions for Chapter 5.5: Integration by Substitution
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 5.5: Integration by Substitution
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Since 122 problems in chapter 5.5: Integration by Substitution have been answered, more than 47737 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Chapter 5.5: Integration by Substitution includes 122 full stepbystep solutions.

Addition principle of probability.
P(A or B) = P(A) + P(B)  P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

Annuity
A sequence of equal periodic payments.

Arrow
The notation PQ denoting the directed line segment with initial point P and terminal point Q.

Control
The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

Definite integral
The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

Differentiable at x = a
ƒ'(a) exists

Exponent
See nth power of a.

Identity function
The function ƒ(x) = x.

Identity matrix
A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

Imaginary unit
The complex number.

Local maximum
A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

Measure of spread
A measure that tells how widely distributed data are.

nth root of unity
A complex number v such that vn = 1

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Polar equation
An equation in r and ?.

Quotient of complex numbers
a + bi c + di = ac + bd c2 + d2 + bc  ad c2 + d2 i

Quotient rule of logarithms
logb a R S b = logb R  logb S, R > 0, S > 0

Real axis
See Complex plane.

Relevant domain
The portion of the domain applicable to the situation being modeled.

Viewing window
The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].