Q.
∫0πx tanxSecx+Cosxdx=
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a
π4
b
π2
c
π24
d
π22
answer is C.
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Detailed Solution
I=∫0πx(Tan xSinx+Cos x)dx =π+02∫0πSin x1+Cos2xdx =π22∫0π/2Sinx1+Cos2xdx (∵f(a−x)=f(x)) =π[−Tan−1(Cosx)]0π/2 =−π(0−π4)=π24
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