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Prove that: ∫x tan x/(sec x + cos x) dx for x ∈ [0,π] = π^2/4

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Prove that: ∫x tan x/(sec x + cos x) dx for x ∈ [0,π] = π2/4

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Best answer

We can write it as

Consider cos x = t

We get

-sin x dx = dt

Here if x = 0 we get t = 1

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