 7.2.1: (a) If G(x) = g(x), thenf(x)g(x) dx = f(x)G(x) (b) If u = f(x) and ...
 7.2.2: Find an appropriate choice of u and dv for integration byparts of e...
 7.2.3: Use integration by parts to evaluate the integral.(a)xe2x dx (b)ln(...
 7.2.4: Use a reduction formula to evaluate sin3 x dx.
 7.2.5: 138 Evaluate the integral. x sin 3x dx 6
 7.2.6: 138 Evaluate the integral. x cos 2x dx
 7.2.7: 138 Evaluate the integral. x2 cos x dx 8
 7.2.8: 138 Evaluate the integral. x2 sin x dx
 7.2.9: 138 Evaluate the integral. x ln x dx 1
 7.2.10: 138 Evaluate the integral. x ln x dx
 7.2.11: 138 Evaluate the integral. (ln x)2 dx 1
 7.2.12: 138 Evaluate the integral. ln x x dx
 7.2.13: 138 Evaluate the integral. ln(3x 2)dx 1
 7.2.14: 138 Evaluate the integral. ln(x2 + 4)dx
 7.2.15: 138 Evaluate the integral. sin1 x dx 1
 7.2.16: 138 Evaluate the integral. cos1(2x) dx
 7.2.17: 138 Evaluate the integral. tan1(3x) dx 1
 7.2.18: 138 Evaluate the integral. x tan1 x dx
 7.2.19: 138 Evaluate the integral. ex sin x dx 2
 7.2.20: 138 Evaluate the integral. e3x cos 2x dx
 7.2.21: 138 Evaluate the integral. sin(ln x) dx 2
 7.2.22: 138 Evaluate the integral. cos(ln x) dx
 7.2.23: 138 Evaluate the integral. x sec2 x dx 2
 7.2.24: 138 Evaluate the integral. x tan2 x dx2
 7.2.25: 138 Evaluate the integral. x3ex2dx 2
 7.2.26: 138 Evaluate the integral. xex(x + 1)2 dx
 7.2.27: 138 Evaluate the integral. 20xe2x dx 2
 7.2.28: 138 Evaluate the integral. 10xe5x dx
 7.2.29: 138 Evaluate the integral. e1x2 ln x dx 3
 7.2.30: 138 Evaluate the integral. eeln xx2 dx3
 7.2.31: 138 Evaluate the integral. 11ln(x + 2)dx 32
 7.2.32: 138 Evaluate the integral. 3/20sin1 x dx
 7.2.33: 138 Evaluate the integral. 42sec1 d 3
 7.2.34: 138 Evaluate the integral. 21x sec1 x dx
 7.2.35: 138 Evaluate the integral. 0x sin 2x dx 3
 7.2.36: 138 Evaluate the integral. 0(x + x cos x) dx
 7.2.37: 138 Evaluate the integral. 31x tan1 x dx 3
 7.2.38: 138 Evaluate the integral. 20ln(x2 + 1)dx3
 7.2.39: 3942 TrueFalse Determine whether the statement is true orfalse. Exp...
 7.2.40: 3942 TrueFalse Determine whether the statement is true orfalse. Exp...
 7.2.41: 3942 TrueFalse Determine whether the statement is true orfalse. Exp...
 7.2.42: 3942 TrueFalse Determine whether the statement is true orfalse. Exp...
 7.2.43: 4344 Evaluate the integral by making a usubstitution andthen integ...
 7.2.44: 4344 Evaluate the integral by making a usubstitution andthen integ...
 7.2.45: Prove that tabular integration by parts gives the correctanswer for...
 7.2.46: The computations of any integral evaluated by repeated integrationb...
 7.2.47: 4752 Evaluate the integral using tabular integration by parts. (3x2...
 7.2.48: 4752 Evaluate the integral using tabular integration by parts. (x2 ...
 7.2.49: 4752 Evaluate the integral using tabular integration by parts. 4x4 ...
 7.2.50: 4752 Evaluate the integral using tabular integration by parts. x32x...
 7.2.51: 4752 Evaluate the integral using tabular integration by parts. eax ...
 7.2.52: 4752 Evaluate the integral using tabular integration by parts. e3 s...
 7.2.53: 4752 Evaluate the integral using tabular integration by parts. Cons...
 7.2.54: 4752 Evaluate the integral using tabular integration by parts. Eval...
 7.2.55: 4752 Evaluate the integral using tabular integration by parts. (a) ...
 7.2.56: 4752 Evaluate the integral using tabular integration by parts. Find...
 7.2.57: 4752 Evaluate the integral using tabular integration by parts. Find...
 7.2.58: 4752 Evaluate the integral using tabular integration by parts. Find...
 7.2.59: 4752 Evaluate the integral using tabular integration by parts. A pa...
 7.2.60: 4752 Evaluate the integral using tabular integration by parts. The ...
 7.2.61: 4752 Evaluate the integral using tabular integration by parts. Use ...
 7.2.62: 4752 Evaluate the integral using tabular integration by parts. Use ...
 7.2.63: Derive reduction formula (9).
 7.2.64: In each part, use integration by parts or other methods toderive th...
 7.2.65: 6566 Use the reduction formulas in Exercise 64 to evaluatethe integ...
 7.2.66: 6566 Use the reduction formulas in Exercise 64 to evaluatethe integ...
 7.2.67: Let f be a function whose second derivative is continuouson [1, 1]....
 7.2.68: (a) In the integral x cos x dx, letu = x, dv = cos x dx,du = dx, v ...
 7.2.69: Evaluate ln(x + 1)dx using integration by parts.Simplify the comput...
 7.2.70: Evaluate ln(3x 2)dx using integration by parts.Simplify the computa...
 7.2.71: Evaluate x tan1 x dx using integration by parts. Simplifythe comput...
 7.2.72: Evaluate x tan1 x dx using integration by parts. Simplifythe comput...
 7.2.73: Writing Explain how the product rule for derivatives andthe techniq...
 7.2.74: Writing For what sort of problems are the integration techniquesof ...
Solutions for Chapter 7.2: INTEGRATION BY PARTS
Full solutions for Calculus: Early Transcendentals,  10th Edition
ISBN: 9780470647691
Solutions for Chapter 7.2: INTEGRATION BY PARTS
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 7.2: INTEGRATION BY PARTS includes 74 full stepbystep solutions. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. Since 74 problems in chapter 7.2: INTEGRATION BY PARTS have been answered, more than 39864 students have viewed full stepbystep solutions from this chapter.

Branches
The two separate curves that make up a hyperbola

Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x, y, and zcomponents of the vector, respectively)

Inequality symbol or
<,>,<,>.

Jump discontinuity at x a
limx:a  ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

Linear function
A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

Major axis
The line segment through the foci of an ellipse with endpoints on the ellipse

Mode of a data set
The category or number that occurs most frequently in the set.

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

Normal curve
The graph of ƒ(x) = ex2/2

Perihelion
The closest point to the Sun in a planet’s orbit.

Permutation
An arrangement of elements of a set, in which order is important.

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.

Probability simulation
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

Projectile motion
The movement of an object that is subject only to the force of gravity

Rose curve
A graph of a polar equation or r = a cos nu.

Spiral of Archimedes
The graph of the polar curve.

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

Symmetric difference quotient of ƒ at a
ƒ(x + h)  ƒ(x  h) 2h

Unbounded interval
An interval that extends to ? or ? (or both).

Xmax
The xvalue of the right side of the viewing window,.