 8.2.1: In Exercises 14, match the antiderivative with the correct integral...
 8.2.2: In Exercises 14, match the antiderivative with the correct integral...
 8.2.3: In Exercises 14, match the antiderivative with the correct integral...
 8.2.4: In Exercises 14, match the antiderivative with the correct integral...
 8.2.5: In Exercises 510, identify and for finding the integral using integ...
 8.2.6: In Exercises 510, identify and for finding the integral using integ...
 8.2.7: In Exercises 510, identify and for finding the integral using integ...
 8.2.8: In Exercises 510, identify and for finding the integral using integ...
 8.2.9: In Exercises 510, identify and for finding the integral using integ...
 8.2.10: In Exercises 510, identify and for finding the integral using integ...
 8.2.11: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.12: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.13: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.14: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.15: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.16: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.17: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.18: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.19: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.20: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.21: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.22: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.23: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.24: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.25: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.26: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.27: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.28: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.29: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.30: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.31: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.32: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.33: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.34: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.35: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.36: In Exercises 1136, find the integral. (Note: Solve by the simplest ...
 8.2.37: In Exercises 3742, solve the differential equation. y xe
 8.2.38: In Exercises 3742, solve the differential equation. y ln x
 8.2.39: In Exercises 3742, solve the differential equation. dy dt t2 2 3t
 8.2.40: In Exercises 3742, solve the differential equation. dy dx x2x 1 d
 8.2.41: In Exercises 3742, solve the differential equation. cos yy 2x
 8.2.42: In Exercises 3742, solve the differential equation. y arctan x 2
 8.2.43: Slope Fields In Exercises 43 and 44, a differential equation, a poi...
 8.2.44: Slope Fields In Exercises 43 and 44, a differential equation, a poi...
 8.2.45: Slope Fields In Exercises 45 and 46, use a computer algebra system ...
 8.2.46: Slope Fields In Exercises 45 and 46, use a computer algebra system ...
 8.2.47: In Exercises 4758, evaluate the definite integral. Use a graphing u...
 8.2.48: In Exercises 4758, evaluate the definite integral. Use a graphing u...
 8.2.49: In Exercises 4758, evaluate the definite integral. Use a graphing u...
 8.2.50: In Exercises 4758, evaluate the definite integral. Use a graphing u...
 8.2.51: In Exercises 4758, evaluate the definite integral. Use a graphing u...
 8.2.52: In Exercises 4758, evaluate the definite integral. Use a graphing u...
 8.2.53: In Exercises 4758, evaluate the definite integral. Use a graphing u...
 8.2.54: In Exercises 4758, evaluate the definite integral. Use a graphing u...
 8.2.55: In Exercises 4758, evaluate the definite integral. Use a graphing u...
 8.2.56: In Exercises 4758, evaluate the definite integral. Use a graphing u...
 8.2.57: In Exercises 4758, evaluate the definite integral. Use a graphing u...
 8.2.58: In Exercises 4758, evaluate the definite integral. Use a graphing u...
 8.2.59: In Exercises 5964, use the tabular method to find the integral. e2x dx
 8.2.60: In Exercises 5964, use the tabular method to find the integral. x3e2 x
 8.2.61: In Exercises 5964, use the tabular method to find the integral. 3 s...
 8.2.62: In Exercises 5964, use the tabular method to find the integral. cos...
 8.2.63: In Exercises 5964, use the tabular method to find the integral. x s...
 8.2.64: In Exercises 5964, use the tabular method to find the integral. x2 ...
 8.2.65: In Exercises 6570, find or evaluate the integral using substitution...
 8.2.66: In Exercises 6570, find or evaluate the integral using substitution...
 8.2.67: In Exercises 6570, find or evaluate the integral using substitution...
 8.2.68: In Exercises 6570, find or evaluate the integral using substitution...
 8.2.69: In Exercises 6570, find or evaluate the integral using substitution...
 8.2.70: In Exercises 6570, find or evaluate the integral using substitution...
 8.2.71: Integration by parts is based on what differentiation rule? Explain.
 8.2.72: In your own words, state guidelines for integration by parts.
 8.2.73: In Exercises 7378, state whether you would use integration by parts...
 8.2.74: In Exercises 7378, state whether you would use integration by parts...
 8.2.75: In Exercises 7378, state whether you would use integration by parts...
 8.2.76: In Exercises 7378, state whether you would use integration by parts...
 8.2.77: In Exercises 7378, state whether you would use integration by parts...
 8.2.78: In Exercises 7378, state whether you would use integration by parts...
 8.2.79: In Exercises 79 82, use a computer algebra system to (a) find or ev...
 8.2.80: In Exercises 79 82, use a computer algebra system to (a) find or ev...
 8.2.81: In Exercises 79 82, use a computer algebra system to (a) find or ev...
 8.2.82: In Exercises 79 82, use a computer algebra system to (a) find or ev...
 8.2.83: Integrate (a) by parts, letting (b) by substitution, letting
 8.2.84: Integrate (a) by parts, letting (b) by substitution, letting
 8.2.85: Integrate (a) by parts, letting (b) by substitution, letting
 8.2.86: Integrate (a) by parts, letting (b) by substitution, letting
 8.2.87: In Exercises 87 and 88, use a computer algebra system to find the i...
 8.2.88: In Exercises 87 and 88, use a computer algebra system to find the i...
 8.2.89: In Exercises 8994, use integration by parts to verify the formula. ...
 8.2.90: In Exercises 8994, use integration by parts to verify the formula. ...
 8.2.91: In Exercises 8994, use integration by parts to verify the formula. ...
 8.2.92: In Exercises 8994, use integration by parts to verify the formula. ...
 8.2.93: In Exercises 8994, use integration by parts to verify the formula. ...
 8.2.94: In Exercises 8994, use integration by parts to verify the formula. ...
 8.2.95: In Exercises 9598, find the integral by using the appropriate formu...
 8.2.96: In Exercises 9598, find the integral by using the appropriate formu...
 8.2.97: In Exercises 9598, find the integral by using the appropriate formu...
 8.2.98: In Exercises 9598, find the integral by using the appropriate formu...
 8.2.99: Area In Exercises 99102, use a graphing utility to graph the region...
 8.2.100: Area In Exercises 99102, use a graphing utility to graph the region...
 8.2.101: Area In Exercises 99102, use a graphing utility to graph the region...
 8.2.102: Area In Exercises 99102, use a graphing utility to graph the region...
 8.2.103: Area, Volume, and Centroid Given the region bounded by the graphs o...
 8.2.104: Volume and Centroid Given the region bounded by the graphs of and f...
 8.2.105: Centroid Find the centroid of the region bounded by the graphs of a...
 8.2.106: Centroid Find the centroid of the region bounded by the graphs of and
 8.2.107: Average Displacement A damping force affects the vibration of a spr...
 8.2.108: Memory Model A model for the ability of a child to memorize, measur...
 8.2.109: Present Value In Exercises 109 and 110, find the present value of a...
 8.2.110: Present Value In Exercises 109 and 110, find the present value of a...
 8.2.111: Integrals Used to Find Fourier Coefficients In Exercises 111 and 11...
 8.2.112: Integrals Used to Find Fourier Coefficients In Exercises 111 and 11...
 8.2.113: Vibrating String A string stretched between the two points and is p...
 8.2.114: Find the fallacy in the following argument that So,
 8.2.115: Let be positive and strictly increasing on the interval Consider th...
 8.2.116: Eulers Method Consider the differential equation with the initial c...
 8.2.117: Eulers Method In Exercises 117 and 118, consider the differential e...
 8.2.118: Eulers Method In Exercises 117 and 118, consider the differential e...
 8.2.119: Think About It Give a geometric explanation to explain why Verify t...
 8.2.120: Finding a Pattern Find the area bounded by the graphs of and over e...
Solutions for Chapter 8.2: Integration by Parts
Full solutions for Calculus  8th Edition
ISBN: 9780618502981
Solutions for Chapter 8.2: Integration by Parts
Get Full SolutionsCalculus was written by and is associated to the ISBN: 9780618502981. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 8.2: Integration by Parts includes 120 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Since 120 problems in chapter 8.2: Integration by Parts have been answered, more than 83910 students have viewed full stepbystep solutions from this chapter.

Cardioid
A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

Cubic
A degree 3 polynomial function

Difference of complex numbers
(a + bi)  (c + di) = (a  c) + (b  d)i

Even function
A function whose graph is symmetric about the yaxis for all x in the domain of ƒ.

Identity properties
a + 0 = a, a ? 1 = a

Law of cosines
a2 = b2 + c2  2bc cos A, b2 = a2 + c2  2ac cos B, c2 = a2 + b2  2ab cos C

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

Ordered set
A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

Phase shift
See Sinusoid.

Polar form of a complex number
See Trigonometric form of a complex number.

Quartile
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

Real number line
A horizontal line that represents the set of real numbers.

Right triangle
A triangle with a 90° angle.

Time plot
A line graph in which time is measured on the horizontal axis.

Translation
See Horizontal translation, Vertical translation.

Trichotomy property
For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

Velocity
A vector that specifies the motion of an object in terms of its speed and direction.

Vertical stretch or shrink
See Stretch, Shrink.

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