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If ∫xf (sin^2x + sec^2x)dx , x ∈ [0, π] = k ∫f(sin^2 x + sec^2 x) dx, x ∈ [0, π/2] then the value of k is

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If ∫xf (sin2x + sec2x)dx , x ∈ [0, π] = k ∫f(sin2 x + sec2 x) dx, x ∈ [0, π/2]  then the value of k is

(a) π/2

(b) π

(c) -π/2

(d) None of the above

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1 Answer

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Best answer

Correct option: (b) π

Explanation: 

Given,

On comparing the above equation with the equation given in question, we get

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