Mathematics

Let $$f(x) = \dfrac{1}{2}  a_0 + \sum^n_{i = 1} a_i \, \cos (ix) + \sum_{j = 1}^n \, b_j \, \sin (jx)$$. Then $$\underset{-\pi}{\overset{\pi}{\int}} f(x) \, \cos \, kx \, dx$$ is equal to 


ANSWER

$$\pi a_k$$


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Single Correct Medium Published on 17th 09, 2020
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