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Need help with this integration question!

I'd appreciate if someone could show me how to solve this integral step by step.
Here is a link to the question: http://prntscr.com/bh28ci
Mark scheme: http://prntscr.com/bh28ys
Thanks in advance!

Reply 1

Notnek

Original post by 1017bsquad

I'd appreciate if someone could show me how to solve this integral step by step.
Here is a link to the question: http://prntscr.com/bh28ci
Mark scheme: http://prntscr.com/bh28ys
Thanks in advance!

Have you done part a?

Please post all your working / ideas.

Reply 2

1017bsquad

Original post by notnek

Have you done part a?

Please post all your working / ideas.

Yes let me draw it up on paint xD

Reply 3

1017bsquad

Original post by notnek

Have you done part a?

Please post all your working / ideas.

http://prntscr.com/bh2hek

Reply 4

Notnek

Original post by 1017bsquad

http://prntscr.com/bh2hek

That's correct so far.

(I'll use 't' instead of theta):

t^2 f(t) = t^2 [4cos(2t) + 5] = 4t^2 cos(2t) + 5t^2

So now you have 2 terms that you need to integrate. 5t^2 is easy.

4t^2 cos(2t) can be integrated using parts. Have a go at that and post your working.

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