 8.2.1: ?In Exercises 16, identify \(u\) and \(d v\) for finding the integ...
 8.2.2: ?In Exercises 16, identify \(u\) and \(d v\) for finding the integ...
 8.2.3: ?In Exercises 16, identify \(u\) and \(d v\) for finding the integ...
 8.2.4: ?In Exercises 16, identify \(u\) and \(d v\) for finding the integ...
 8.2.5: ?In Exercises 16, identify \(u\) and \(d v\) for finding the integ...
 8.2.6: ?In Exercises 16, identify \(u\) and \(d v\) for finding the integ...
 8.2.7: ?In Exercises 710, evaluate the integral using integration by part...
 8.2.8: ?In Exercises 710, evaluate the integral using integration by part...
 8.2.9: ?In Exercises 710, evaluate the integral using integration by part...
 8.2.10: ?In Exercises 710, evaluate the integral using integration by part...
 8.2.11: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.12: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.13: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.14: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.15: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.16: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.17: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.18: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.19: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.20: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.21: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.22: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.23: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.24: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.25: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.26: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.27: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.28: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.29: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.30: ?In Exercises 1130, find the indefinite integral. (Note: Solve by ...
 8.2.31: ?In Exercises 3134, solve the differential equation.y’ = ln x
 8.2.32: ?In Exercises 3134, solve the differential equation.\(y^{\prime}=\...
 8.2.33: ?In Exercises 3134, solve the differential equation.\(\frac{d y}{d...
 8.2.34: ?In Exercises 3134, solve the differential equation.\(\frac{d y}{d...
 8.2.35: ?In Exercises 35 and 36, a differential equation, a point, and a sl...
 8.2.36: ?In Exercises 35 and 36, a differential equation, a point, and a sl...
 8.2.37: ?In Exercises 37 and 38, use a computer algebra system to graph the...
 8.2.38: ?In Exercises 37 and 38, use a computer algebra system to graph the...
 8.2.39: ?In Exercises 3948, evaluate the definite integral. Use a graphing...
 8.2.40: ?In Exercises 3948, evaluate the definite integral. Use a graphing...
 8.2.41: ?In Exercises 3948, evaluate the definite integral. Use a graphing...
 8.2.42: ?In Exercises 3948, evaluate the definite integral. Use a graphing...
 8.2.43: ?In Exercises 3948, evaluate the definite integral. Use a graphing...
 8.2.44: ?In Exercises 3948, evaluate the definite integral. Use a graphing...
 8.2.45: ?In Exercises 3948, evaluate the definite integral. Use a graphing...
 8.2.46: ?In Exercises 3948, evaluate the definite integral. Use a graphing...
 8.2.47: ?In Exercises 3948, evaluate the definite integral. Use a graphing...
 8.2.48: ?In Exercises 3948, evaluate the definite integral. Use a graphing...
 8.2.49: ?In Exercises 4954, use the tabular method to find the integral.\(...
 8.2.50: ?In Exercises 4954, use the tabular method to find the integral.\(...
 8.2.51: ?In Exercises 4954, use the tabular method to find the integral.\(...
 8.2.52: ?In Exercises 4954, use the tabular method to find the integral.\(...
 8.2.53: ?In Exercises 4954, use the tabular method to find the integral.\(...
 8.2.54: ?In Exercises 4954, use the tabular method to find the integral.\(...
 8.2.55: ?In Exercises 5558, find the indefinite integral by using substitu...
 8.2.56: ?In Exercises 5558, find the indefinite integral by using substitu...
 8.2.57: ?In Exercises 5558, find the indefinite integral by using substitu...
 8.2.58: ?In Exercises 5558, find the indefinite integral by using substitu...
 8.2.59: ?(a) Integration by parts is based on what differentiation rule? Ex...
 8.2.60: ?When evaluating \(\int x \sin x d x\), explain how letting u = sin...
 8.2.61: ?State whether you would use integration by parts to evaluate each ...
 8.2.62: ?Use the graph of f ‘ shown in the figure to answer the following. ...
 8.2.63: ?Integrate \(\int \frac{x^{3}}{\sqrt{4+x^{2}}} d x\)(a) by parts, l...
 8.2.64: ?Integrate \(\int x \sqrt{4x} d x\)(a) by parts, letting \(d v=\sq...
 8.2.65: ?In Exercises 65 and 66, use a computer algebra system to find the ...
 8.2.66: ?In Exercises 65 and 66, use a computer algebra system to find the ...
 8.2.67: ?In Exercises 6772, use integration by parts to prove the formula....
 8.2.68: ?In Exercises 6772, use integration by parts to prove the formula....
 8.2.69: ?In Exercises 6772, use integration by parts to prove the formula....
 8.2.70: ?In Exercises 6772, use integration by parts to prove the formula....
 8.2.71: ?In Exercises 6772, use integration by parts to prove the formula....
 8.2.72: ?In Exercises 6772, use integration by parts to prove the formula....
 8.2.73: ?In Exercises 7378, find the integral by using the appropriate for...
 8.2.74: ?In Exercises 7378 find the integral by using the appropriate form...
 8.2.75: ?In Exercises 7378 find the integral by using the appropriate form...
 8.2.76: ?In Exercises 7378 find the integral by using the appropriate form...
 8.2.77: ?In Exercises 7378 find the integral by using the appropriate form...
 8.2.78: ?In Exercises 7378 find the integral by using the appropriate form...
 8.2.79: ?In Exercises 7982, use a graphing utility to graph the region bou...
 8.2.80: ?In Exercises 7982, use a graphing utility to graph the region bou...
 8.2.81: ?In Exercises 7982, use a graphing utility to graph the region bou...
 8.2.82: ?In Exercises 7982, use a graphing utility to graph the region bou...
 8.2.83: ?Given the region bounded by the graphs of y = ln x, y = 0, and x =...
 8.2.84: ?Given the region bounded by the graphs of y = x sin x, y = 0, x = ...
 8.2.85: ?Find the centroid of the region bounded by the graphs of y = arcsi...
 8.2.86: ?Find the centroid of the region bounded by the graphs of \(f(x)=x^...
 8.2.87: ?A damping force affects the vibration of a spring so that the disp...
 8.2.88: ?A model for the ability M of a child to memorize, measured on a sc...
 8.2.89: ?In Exercises 89 and 90, find the present value P of a continuous i...
 8.2.90: ?In Exercises 89 and 90, find the present value P of a continuous i...
 8.2.91: ?In Exercises 91 and 92, verify the value of the definite integral,...
 8.2.92: ?In Exercises 91 and 92, verify the value of the definite integral,...
 8.2.93: ?A string stretched between the two points (0,0) and (2,0) is pluck...
 8.2.94: ?Consider the differential equation \(f^{\prime}(x)=x e^{x}\) with...
 8.2.95: ?In Exercises 95 and 96, consider the differential equation and rep...
 8.2.96: ?In Exercises 95 and 96, consider the differential equation and rep...
 8.2.97: ?Give a geometric explanation of why \(\int_{0}^{\pi / 2} x \sin x ...
 8.2.98: ?Find the area bounded by the graphs of y = x sin x and y = 0 over ...
 8.2.99: ?Find the fallacy in the following argument that 0 = 1.\(d v=d x \q...
Solutions for Chapter 8.2: Integration by Parts
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 8.2: Integration by Parts
Get Full SolutionsCalculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Since 99 problems in chapter 8.2: Integration by Parts have been answered, more than 184383 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 8.2: Integration by Parts includes 99 full stepbystep solutions.

Arithmetic sequence
A sequence {an} in which an = an1 + d for every integer n ? 2 . The number d is the common difference.

Cubic
A degree 3 polynomial function

Dot product
The number found when the corresponding components of two vectors are multiplied and then summed

Eccentricity
A nonnegative number that specifies how offcenter the focus of a conic is

Exponential function
A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

Head minus tail (HMT) rule
An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2  x 1, y2  y19>

Integers
The numbers . . ., 3, 2, 1, 0,1,2,...2

Inverse variation
See Power function.

nth root
See Principal nth root

Paraboloid of revolution
A surface generated by rotating a parabola about its line of symmetry.

Phase shift
See Sinusoid.

Pythagorean
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

Random variable
A function that assigns realnumber values to the outcomes in a sample space.

Right triangle
A triangle with a 90° angle.

Rigid transformation
A transformation that leaves the basic shape of a graph unchanged.

Sample standard deviation
The standard deviation computed using only a sample of the entire population.

Third quartile
See Quartile.

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.

Vector
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

ycoordinate
The directed distance from the xaxis xzplane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.