 5.4.1: Verify by differentiation that the formula is correct. y 1 x 2 s1 1...
 5.4.2: Verify by differentiation that the formula is correct. y cos2 x dx ...
 5.4.3: Verify by differentiation that the formula is correct.y tan2 x dx t...
 5.4.4: Verify by differentiation that the formula is correct.y xsa 1 bx dx...
 5.4.5: Find the general indefinite integral. y sx1.3 1 7x 2.5d dx
 5.4.6: Find the general indefinite integral. y s 4 x5 dx
 5.4.7: Find the general indefinite integral.y (5 1 2 3 x2 1 3 4 x3 ) dx
 5.4.8: Find the general indefinite integral. y (u6 2 2u5 2 u3 1 2 7) du
 5.4.9: Find the general indefinite integral. y su 1 4ds2u 1 1d du
 5.4.10: Find the general indefinite integral. y stst 2 1 3t 1 2d dt
 5.4.11: Find the general indefinite integral. y 1 1 sx 1 x x dx
 5.4.12: Find the general indefinite integral.y Sx 2 1 1 1 1 x 2 1 1 D dx
 5.4.13: Find the general indefinite integral. y ssin x 1 sinh xd dx
 5.4.14: Find the general indefinite integral. y S 1 1 r r D 2 dr
 5.4.15: Find the general indefinite integral.y s2 1 tan2 d d
 5.4.16: Find the general indefinite integral. y sec tssec t 1 tan td dt
 5.4.17: Find the general indefinite integral. y 2t s1 1 5 t d dt
 5.4.18: Find the general indefinite integral. y sin 2x sin x dx
 5.4.19: Find the general indefinite integral. Illustrate by graphing severa...
 5.4.20: Find the general indefinite integral. Illustrate by graphing severa...
 5.4.21: Evaluate the integral. y 3 22 sx 2 2 3d dx
 5.4.22: Evaluate the integral. y 2 1 s4x 3 2 3x 2 1 2xd dx
 5.4.23: Evaluate the integral. y 0 22 (1 2 t 4 1 1 4 t 3 2 t) dt
 5.4.24: Evaluate the integral. y 3 0 s1 1 6w2 2 10w4 d dw
 5.4.25: Evaluate the integral. y 2 0 s2x 2 3ds4x 2 1 1d dx
 5.4.26: Evaluate the integral. y 1 21 ts1 2 td 2 d
 5.4.27: Evaluate the integral. y 0 s5ex 1 3 sin xd dx
 5.4.28: Evaluate the integral. y 2 1 S 1 x 2 2 4 x 3 D dx
 5.4.29: Evaluate the integral. y 4 1 S 4 1 6u su D du
 5.4.30: Evaluate the integral. y 1 0 4 1 1 p2 dp
 5.4.31: Evaluate the integral.y 1 0 x(s 3 x 1 s 4 x ) dx
 5.4.32: Evaluate the integral. y 4 1 sy 2 y y 2 dy
 5.4.33: Evaluate the integral. y 2 1 S x 2 2 2 x D dx
 5.4.34: Evaluate the integral.y 1 0 s5x 2 5x d dx
 5.4.35: Evaluate the integral. y 1 0 sx 10 1 10x d dx
 5.4.36: Evaluate the integral. y y4 0 sec tan d
 5.4.37: Evaluate the integral. y y4 0 1 1 cos2 cos2 d
 5.4.38: Evaluate the integral. y y3 0 sin 1 sin tan2 sec2 d
 5.4.39: Evaluate the integral. y 8 1 2 1 t s 3 t 2 dt
 5.4.40: Evaluate the integral. y 10 210 2ex sinh x 1 cosh x dx
 5.4.41: Evaluate the integral.y s3y2 0 dr s1 2 r 2
 5.4.42: Evaluate the integral. y 2 1 sx 2 1d 3 x 2 dx
 5.4.43: Evaluate the integral. y 1ys3 0 t 2 2 1 t 4 2 1 dt
 5.4.44: Evaluate the integral. 2 0  2x 2 1 dx
 5.4.45: Evaluate the integral. y 2 21 (x 2 2  x ) dx
 5.4.46: Evaluate the integral. y 3y2 0  sin x  dx
 5.4.47: Use a graph to estimate the xintercepts of the curve y 1 2 2x 2 5x...
 5.4.48: Repeat Exercise 47 for the curve y sx 2 1 1d 21 2 x 4
 5.4.49: The area of the region that lies to the right of the yaxis and to ...
 5.4.50: The boundaries of the shaded region are the yaxis, the line y 1, a...
 5.4.51: If w9std is the rate of growth of a child in pounds per year, what ...
 5.4.52: The current in a wire is defined as the derivative of the charge: I...
 5.4.53: If oil leaks from a tank at a rate of rstd gallons per minute at ti...
 5.4.54: A honeybee population starts with 100 bees and increases at a rate ...
 5.4.55: In Section 4.7 we defined the marginal revenue function R9sxd as th...
 5.4.56: If fsxd is the slope of a trail at a distance of x miles from the s...
 5.4.57: If x is measured in meters and fsxd is measured in newtons, what ar...
 5.4.58: . If the units for x are feet and the units for asxd are pounds per...
 5.4.59: The velocity function (in meters per second) is given for a particl...
 5.4.60: The velocity function (in meters per second) is given for a particl...
 5.4.61: The acceleration function (in mys 2 ) and the initial velocity are ...
 5.4.62: The acceleration function (in mys 2 ) and the initial velocity are ...
 5.4.63: The linear density of a rod of length 4 m is given by sxd 9 1 2sx m...
 5.4.64: Water flows from the bottom of a storage tank at a rate of rstd 200...
 5.4.65: The velocity of a car was read from its speedometer at 10second in...
 5.4.66: Suppose that a volcano is erupting and readings of the rate rstd at...
 5.4.67: The marginal cost of manufacturing x yards of a certain fabric is C...
 5.4.68: Water flows into and out of a storage tank. A graph of the rate of ...
 5.4.69: The graph of the acceleration astd of a car measured in ftys 2 is s...
 5.4.70: Lake Lanier in Georgia, USA, is a reservoir created by Buford Dam o...
 5.4.71: A bacteria population is 4000 at time t 0 and its rate of growth is...
 5.4.72: Shown is the graph of traffic on an Internet service providers T1 d...
 5.4.73: . Shown is the power consumption in the province of Ontario, Canada...
 5.4.74: On May 7, 1992, the space shuttle Endeavour was launched on mission...
Solutions for Chapter 5.4: Indefinite Integrals and the Net Change Theorem
Full solutions for Single Variable Calculus: Early Transcendentals  8th Edition
ISBN: 9781305270336
Solutions for Chapter 5.4: Indefinite Integrals and the Net Change Theorem
Get Full SolutionsThis textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Since 74 problems in chapter 5.4: Indefinite Integrals and the Net Change Theorem have been answered, more than 42723 students have viewed full stepbystep solutions from this chapter. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Chapter 5.4: Indefinite Integrals and the Net Change Theorem includes 74 full stepbystep solutions.

Causation
A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

Cofunction identity
An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

Common logarithm
A logarithm with base 10.

Complex fraction
See Compound fraction.

Compounded continuously
Interest compounded using the formula A = Pert

Elimination method
A method of solving a system of linear equations

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Halflife
The amount of time required for half of a radioactive substance to decay.

Length of a vector
See Magnitude of a vector.

Multiplication principle of probability
If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(AB) # P(B)

nth power of a
The number with n factors of a , where n is the exponent and a is the base.

Period
See Periodic function.

Rational expression
An expression that can be written as a ratio of two polynomials.

Sine
The function y = sin x.

Solve by substitution
Method for solving systems of linear equations.

Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,

Summation notation
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

Transformation
A function that maps real numbers to real numbers.

Vertical line
x = a.

Zero of a function
A value in the domain of a function that makes the function value zero.