Question

Using property of Definite integral , evaluate the value of -

∫ 2x cos^5 x dx
0

Answer 1

Answer:

Hey mate, See the attachment.

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Answer 2

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Let I = int0^2picos^5 x dx ...........

(1)We know that, cos^5(2pi - x) = cos^5x

Also It is known that, int0^2af(x)dx = 2int0^af(x)dx, if f(2a - x) = f(x) .

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