SCore. 1 +CoS x 1. Find the integral dx. Hint: change secant to cosine; then use the trig sec x 1 + cos(2x) 2 identity cos(x) = 2 2x cos(x) 2 Find the integral dx. Hint: make u = sin(z2) ] sin(x2) 3. Evaluate the integral JO VIn 2 2xe dx. [Hint: let u = x2 ] Use integration by parts to evaluate the integral 5xe dx. Hint: let u = I Use integration by parts to find the integral x ln(x) dx [Hint: make u ln x Find the integral dx. [hint: do long division first 2 +4 2x 5 Find the integral 5-6 dx. 1 Use the trigonometric substitution r = 2 sin e to find the integral dx 4- 2 1 +cos x 1. Find the integral dx. Hint: change secant to cosine; then use the trig sec 1 + cos(2x) 2 identity cos(x) = 2 2x cos(x2) sin(x2) 2 Find the integral dx. Hint: make u = sin(x2) ] In 2 3. Evaluate the integral 2xe dx. [Hint: let u = x2 ] 2хег? 1 4) Use integration by parts to evaluate the integral 5xe dx. Hint: let u = I 0 5. Use integration by parts to find the integral ln(r) dx [Hint: make u = Inx ] 1 6. Find the integral dx. hint: do long division first] 2 4 2x 5 dx. 7 Find the integral 2 +5a 6 1 8. Use the trigonometric substitution x = 2 sin 0 to find the integral dx. V4 2 1 9 Use the trigonometric substitution r tan 0 to find the integral dx. (x2+1)2

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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SCore.
1 +CoS x
1. Find the integral
dx. Hint: change secant to cosine; then use the trig
sec x
1 + cos(2x)
2
identity cos(x) =
2
2x cos(x)
2 Find the integral
dx. Hint: make u =
sin(z2) ]
sin(x2)
3. Evaluate the integral
JO
VIn 2
2xe dx. [Hint: let u = x2 ]
Use integration by parts to evaluate the integral
5xe dx. Hint: let u = I
Use integration by parts to find the integral x ln(x) dx [Hint: make u ln x
Find the integral
dx. [hint: do long division first
2 +4
2x 5
Find the integral 5-6
dx.
1
Use the trigonometric substitution r =
2 sin e to find the integral
dx
4- 2
Transcribed Image Text:SCore. 1 +CoS x 1. Find the integral dx. Hint: change secant to cosine; then use the trig sec x 1 + cos(2x) 2 identity cos(x) = 2 2x cos(x) 2 Find the integral dx. Hint: make u = sin(z2) ] sin(x2) 3. Evaluate the integral JO VIn 2 2xe dx. [Hint: let u = x2 ] Use integration by parts to evaluate the integral 5xe dx. Hint: let u = I Use integration by parts to find the integral x ln(x) dx [Hint: make u ln x Find the integral dx. [hint: do long division first 2 +4 2x 5 Find the integral 5-6 dx. 1 Use the trigonometric substitution r = 2 sin e to find the integral dx 4- 2
1 +cos x
1. Find the integral
dx. Hint: change secant to cosine; then use the trig
sec
1 + cos(2x)
2
identity cos(x) =
2
2x cos(x2)
sin(x2)
2 Find the integral
dx. Hint: make u =
sin(x2) ]
In 2
3. Evaluate the integral
2xe dx. [Hint: let u = x2 ]
2хег?
1
4) Use integration by parts to evaluate the integral
5xe dx. Hint: let u = I
0
5. Use integration by parts to find the integral ln(r) dx [Hint: make u = Inx ]
1
6. Find the integral
dx. hint: do long division first]
2 4
2x 5
dx.
7 Find the integral 2 +5a 6
1
8. Use the trigonometric substitution x = 2 sin 0 to find the integral
dx.
V4 2
1
9 Use the trigonometric substitution r tan 0 to find the integral
dx.
(x2+1)2
Transcribed Image Text:1 +cos x 1. Find the integral dx. Hint: change secant to cosine; then use the trig sec 1 + cos(2x) 2 identity cos(x) = 2 2x cos(x2) sin(x2) 2 Find the integral dx. Hint: make u = sin(x2) ] In 2 3. Evaluate the integral 2xe dx. [Hint: let u = x2 ] 2хег? 1 4) Use integration by parts to evaluate the integral 5xe dx. Hint: let u = I 0 5. Use integration by parts to find the integral ln(r) dx [Hint: make u = Inx ] 1 6. Find the integral dx. hint: do long division first] 2 4 2x 5 dx. 7 Find the integral 2 +5a 6 1 8. Use the trigonometric substitution x = 2 sin 0 to find the integral dx. V4 2 1 9 Use the trigonometric substitution r tan 0 to find the integral dx. (x2+1)2
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