Evaluate the following integral using integration by parts. fxsin 6x dx

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 34E
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Evaluate the following integral using integration by parts.
[xsin 6x dx
O A.
x cos 6x + ][cos 6x|
OB. - 71 COS EX - [[ - 1 x Cos Ex) dx
cos 6x-
6x
6
Oc. - 1xcos Ex-1(-1/2
C.
6x
6
O D. 6x cos
dx
Evaluate the integral.
√x sin 6x dx =
cos ex)
6x
1 x + [[6 005 1 x) dx
x+
cos
6
dx
Transcribed Image Text:Evaluate the following integral using integration by parts. [xsin 6x dx O A. x cos 6x + ][cos 6x| OB. - 71 COS EX - [[ - 1 x Cos Ex) dx cos 6x- 6x 6 Oc. - 1xcos Ex-1(-1/2 C. 6x 6 O D. 6x cos dx Evaluate the integral. √x sin 6x dx = cos ex) 6x 1 x + [[6 005 1 x) dx x+ cos 6 dx
Evaluate the following integral using integration by parts.
fxsin
O A.
x sin 6x dx
Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below.
OB.
1
6
-X cos 6x +
1
6
S(1
cos 6x -
OD. 6x cos
cos 6x dx
1
:1 (-½>
6
1
O c. -x cos 6x-[[
6
Evaluate the integral.
X cos 6x dx
6
cos 6x) dx
1
-X+
x+ f[6 cos x) dx
...
Transcribed Image Text:Evaluate the following integral using integration by parts. fxsin O A. x sin 6x dx Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below. OB. 1 6 -X cos 6x + 1 6 S(1 cos 6x - OD. 6x cos cos 6x dx 1 :1 (-½> 6 1 O c. -x cos 6x-[[ 6 Evaluate the integral. X cos 6x dx 6 cos 6x) dx 1 -X+ x+ f[6 cos x) dx ...
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