Integrating by parts #1

Homework Statement

I have work these two problems, but in the first one #4 I feel like I'm missing something a step or something. and in the second problem I'm just lost, I can't finish it so will you please assist me. your help is appreciated.

thanks a lot.

The Attempt at a Solution

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You got the first question right except I think you just mis-wrote your final answer that's boxed. It looks like you accidentally moved the x^6 to the bottom when you went to the last step.

Mark44
Mentor
How about posting the 2nd problem so that we don't have to turn our heads sideway to read it?

dextercioby
Homework Helper
For the integral from the second picture you need to apply 2ice the partial integration.

You got the first question right except I think you just mis-wrote your final answer that's boxed. It looks like you accidentally moved the x^6 to the bottom when you went to the last step.
do you mean the X^6 that comes after the (1/36)

How about posting the 2nd problem so that we don't have to turn our heads sideway to read it?
ok, I need to know how to proceed with the second integration

Mark44
Mentor
ok, I need to know how to proceed with the second integration
Repost the second problem then. I don't want to have to turn my monitor sideways to read your work.

Repost the second problem then. I don't want to have to turn my monitor sideways to read your work.
I uploaded it agin, but it's not rotating I don't know why

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Side note: some graphics cards let you rotate your monitor display in its settings. If you happen to have an Intel graphics card on your computer, holding Ctrl and Alt while hitting the left arrow key will rotate the screen and make the image readable, then hold Ctrl and Alt and hit the up arrow to put it back to normal.

side note: Some graphics cards let you rotate your monitor display in its settings. If you happen to have an intel graphics card on your computer, holding ctrl and alt while hitting the left arrow key will rotate the screen and make the image readable, then hold ctrl and alt and hit the up arrow to put it back to normal.
thank you so much

SammyS
Staff Emeritus
$$\int\sin(3x)\,x\,dx\,,$$
let $$u=x$$ and $$dv=\sin(3x)\,dx\,.$$