 7.3.1: 13 Evaluate the integral using the indicated trigonometric substitu...
 7.3.2: 13 Evaluate the integral using the indicated trigonometric substitu...
 7.3.3: 13 Evaluate the integral using the indicated trigonometric substitu...
 7.3.4: 430 Evaluate the integral.
 7.3.5: 430 Evaluate the integral.
 7.3.6: 430 Evaluate the integral.
 7.3.7: 430 Evaluate the integral.
 7.3.8: 430 Evaluate the integral.
 7.3.9: 430 Evaluate the integral.
 7.3.10: 430 Evaluate the integral.
 7.3.11: 430 Evaluate the integral.
 7.3.12: 430 Evaluate the integral.
 7.3.13: 430 Evaluate the integral.
 7.3.14: 430 Evaluate the integral.
 7.3.15: 430 Evaluate the integral.
 7.3.16: 430 Evaluate the integral.
 7.3.17: 430 Evaluate the integral.
 7.3.18: 430 Evaluate the integral.
 7.3.19: 430 Evaluate the integral.
 7.3.20: 430 Evaluate the integral.
 7.3.21: 430 Evaluate the integral.
 7.3.22: 430 Evaluate the integral.
 7.3.23: 430 Evaluate the integral.
 7.3.24: 430 Evaluate the integral.
 7.3.25: 430 Evaluate the integral.
 7.3.26: 430 Evaluate the integral.
 7.3.27: 430 Evaluate the integral.
 7.3.28: 430 Evaluate the integral.
 7.3.29: 430 Evaluate the integral.
 7.3.30: 430 Evaluate the integral.
 7.3.31: (a) Use trigonometric substitution to show that y dx sx 2 1 a2 ln(x...
 7.3.32: Evaluate y x 2 sx 2 1 a2 d 3y2 dx (a) by trigonometric substitution...
 7.3.33: Find the average value of fsxd sx 2 2 1yx, 1 < x < 7.
 7.3.34: Find the area of the region bounded by the hyperbola 9x 2 2 4y 2 36...
 7.3.35: Prove the formula A 1 2 r 2 for the area of a sector of a circle wi...
 7.3.36: Evaluate the integral y dx x 4 sx 2 2 2 Graph the integrand and its...
 7.3.37: Find the volume of the solid obtained by rotating about the xaxis ...
 7.3.38: Find the volume of the solid obtained by rotating about the line x ...
 7.3.39: (a) Use trigonometric substitution to verify that y x 0 sa2 2 t 2 d...
 7.3.40: The parabola y 1 2x 2 divides the disk x 2 1 y 2 < 8 into two parts...
 7.3.41: A torus is generated by rotating the circle x 2 1 s y 2 Rd 2 r 2 ab...
 7.3.42: A charged rod of length L produces an electric field at point Psa, ...
 7.3.43: Find the area of the crescentshaped region (called a lune) bounded...
 7.3.44: A water storage tank has the shape of a cylinder with diameter 10 f...
Solutions for Chapter 7.3: Trigonometric Substitution
Full solutions for Single Variable Calculus: Early Transcendentals  8th Edition
ISBN: 9781305270336
Solutions for Chapter 7.3: Trigonometric Substitution
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Chapter 7.3: Trigonometric Substitution includes 44 full stepbystep solutions. Since 44 problems in chapter 7.3: Trigonometric Substitution have been answered, more than 39722 students have viewed full stepbystep solutions from this chapter.

Additive identity for the complex numbers
0 + 0i is the complex number zero

Complex conjugates
Complex numbers a + bi and a  bi

Conditional probability
The probability of an event A given that an event B has already occurred

Confounding variable
A third variable that affects either of two variables being studied, making inferences about causation unreliable

Convenience sample
A sample that sacrifices randomness for convenience

De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

Distributive property
a(b + c) = ab + ac and related properties

Exponential form
An equation written with exponents instead of logarithms.

Fibonacci sequence
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

Intercepted arc
Arc of a circle between the initial side and terminal side of a central angle.

Inverse cosine function
The function y = cos1 x

Monomial function
A polynomial with exactly one term.

Multiplicative inverse of a complex number
The reciprocal of a + bi, or 1 a + bi = a a2 + b2 ba2 + b2 i

Piecewisedefined function
A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

Positive association
A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

Reflexive property of equality
a = a

Resistant measure
A statistical measure that does not change much in response to outliers.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Square matrix
A matrix whose number of rows equals the number of columns.