In 2 (3.) Evaluate the integral 2xe dx. [Hint: let u x2 4 Use integration by parts to evaluate the integral 5xe dx. Hint: let u ] 5 Use integration by parts to find the integral xIn(x) dx [Hint: make u = In r ] 22 dx. [hint: do long division first] 6. Find the integral +4 2x5 7 Find the integral 2 + 5x- dx. 1 dx 0 V4-r2 8. Use the trigonometric substitution x= 2 sin 0 to find the integral amd 1 dx (x21)2 9) Use the trigonometric substitution x = tan 0 to find the integral 10.)Evaluate the improper integral dx. dx. 1+(e)2 11. Evaluate the improper integral (3.) Evaluate the integral 2xe dx. [Hint: let u x2 ] VIn 2 4 Use integration by parts to evaluate the integral 5xe dx. [Hint: let u x] 5. Use integration by parts to find the integral ln (x) dx [Hint: make u- = In x ] 6. Find the integral + 4 dx. [hint: do long division first 2x5 7 Find the integral dx. x2 5x-6 8. Use the trigonometric substitution x = 2 sin 0 to find the integral 1 dx. 0 V4-2 1 9 Use the trigonometric substitution x tane to find the integral dx. (xr21)2 10. )Evaluate the improper integral dx. alen 1 11. Evaluate the improper integral Jo 1+ (e)2 e0 dx. -19

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In 2
(3.) Evaluate the integral 2xe dx. [Hint: let u x2
4 Use integration by parts to evaluate the integral
5xe dx. Hint: let u ]
5 Use integration by parts to find the integral xIn(x) dx [Hint: make u = In r ]
22
dx. [hint: do long division first]
6. Find the integral +4
2x5
7 Find the integral 2 + 5x-
dx.
1
dx
0 V4-r2
8. Use the trigonometric substitution x= 2 sin 0 to find the integral
amd
1
dx
(x21)2
9) Use the trigonometric substitution x = tan 0 to find the integral
10.)Evaluate the improper integral dx.
dx.
1+(e)2
11. Evaluate the improper integral
Transcribed Image Text:In 2 (3.) Evaluate the integral 2xe dx. [Hint: let u x2 4 Use integration by parts to evaluate the integral 5xe dx. Hint: let u ] 5 Use integration by parts to find the integral xIn(x) dx [Hint: make u = In r ] 22 dx. [hint: do long division first] 6. Find the integral +4 2x5 7 Find the integral 2 + 5x- dx. 1 dx 0 V4-r2 8. Use the trigonometric substitution x= 2 sin 0 to find the integral amd 1 dx (x21)2 9) Use the trigonometric substitution x = tan 0 to find the integral 10.)Evaluate the improper integral dx. dx. 1+(e)2 11. Evaluate the improper integral
(3.) Evaluate the integral 2xe dx. [Hint: let u x2 ]
VIn 2
4 Use integration by parts to evaluate the integral
5xe dx. [Hint: let u x]
5. Use integration by parts to find the integral ln (x) dx [Hint: make u-
= In x ]
6. Find the integral + 4
dx. [hint: do long division first
2x5
7 Find the integral
dx.
x2 5x-6
8. Use the trigonometric substitution x = 2 sin 0 to find the integral
1
dx.
0 V4-2
1
9 Use the trigonometric substitution x tane to find the integral
dx.
(xr21)2
10. )Evaluate the improper integral
dx.
alen
1
11. Evaluate the improper integral Jo 1+ (e)2
e0
dx.
-19
Transcribed Image Text:(3.) Evaluate the integral 2xe dx. [Hint: let u x2 ] VIn 2 4 Use integration by parts to evaluate the integral 5xe dx. [Hint: let u x] 5. Use integration by parts to find the integral ln (x) dx [Hint: make u- = In x ] 6. Find the integral + 4 dx. [hint: do long division first 2x5 7 Find the integral dx. x2 5x-6 8. Use the trigonometric substitution x = 2 sin 0 to find the integral 1 dx. 0 V4-2 1 9 Use the trigonometric substitution x tane to find the integral dx. (xr21)2 10. )Evaluate the improper integral dx. alen 1 11. Evaluate the improper integral Jo 1+ (e)2 e0 dx. -19
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