worksheet 7.2 - integration by parts · pdf file08.02.2013 · 7.! e √ x dx...
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![Page 1: Worksheet 7.2 - Integration by Parts · PDF file08.02.2013 · 7.! e √ x dx Hint: Make a t-substitution first, and then use integration by parts. 8.! sin(lnx) dx 4](https://reader031.vdocuments.site/reader031/viewer/2022022003/5a9dad8e7f8b9a42488c2cee/html5/thumbnails/1.jpg)
Worksheet 7.2 - Integration by PartsFebruary 8th, 2013
!u dv = uv −
!v du
! b
a
u dv = uv""ba−! b
a
v du
1.
!x cos 2x dx
2.
!sin−1 x dx
1
![Page 2: Worksheet 7.2 - Integration by Parts · PDF file08.02.2013 · 7.! e √ x dx Hint: Make a t-substitution first, and then use integration by parts. 8.! sin(lnx) dx 4](https://reader031.vdocuments.site/reader031/viewer/2022022003/5a9dad8e7f8b9a42488c2cee/html5/thumbnails/2.jpg)
3.
!e3x cos 2x dx
4.
! 2
0
xe2x; dx
2
![Page 3: Worksheet 7.2 - Integration by Parts · PDF file08.02.2013 · 7.! e √ x dx Hint: Make a t-substitution first, and then use integration by parts. 8.! sin(lnx) dx 4](https://reader031.vdocuments.site/reader031/viewer/2022022003/5a9dad8e7f8b9a42488c2cee/html5/thumbnails/3.jpg)
5.
! e
1
x2 ln x dx
6.
!(ln x)2 ; dx
3
![Page 4: Worksheet 7.2 - Integration by Parts · PDF file08.02.2013 · 7.! e √ x dx Hint: Make a t-substitution first, and then use integration by parts. 8.! sin(lnx) dx 4](https://reader031.vdocuments.site/reader031/viewer/2022022003/5a9dad8e7f8b9a42488c2cee/html5/thumbnails/4.jpg)
7.
!e√x dx Hint: Make a t-substitution first, and then use integration by parts.
8.
!sin (lnx) dx
4