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Integrate[ (Pi/4 - x/2)  cos (n *x), {x, 0, Pi}]

This doesnt give me desired results .n is natural 1,2,3,4,5...
I want to get something like $$\frac{1-(-1)^n}{2n^2}$$

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closed as off-topic by Yves Klett, Öskå, RunnyKine, rasher, Simon Woods Jun 11 at 10:19

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question arises due to a simple mistake such as a trivial syntax error, incorrect capitalization, spelling mistake, or other typographical error and is unlikely to help any future visitors, or else it is easily found in the documentation." – Yves Klett, Öskå, RunnyKine, rasher, Simon Woods
If this question can be reworded to fit the rules in the help center, please edit the question.

2  
How about putting your cursor on cos, pressing F1 and see that it says Cos[]? –  Öskå Jun 11 at 10:10
1  
Have a look at Basic syntax issues in the most common pitfalls thread. –  Yves Klett Jun 11 at 10:11

1 Answer 1

up vote 2 down vote accepted
FullSimplify[Integrate[(Pi/4 - x/2) Cos[n*x], {x, 0, Pi}], n \[Element] Integers]

(*
-((-1 + (-1)^n)/(2 n^2))
*)
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