# Using properties

We know, Let Now,           I = π

OR

Dividing numerator and denominator by cos3x  Put tanx = t, then sec2xdx = dt By partial fractions

Let  t = At2 – At + A + Bt + Bt2 + Ct + C

t = t2(A + B) + (-A + B + C) t + A + C

On comparing, A + B = 0

-A + B + C = 1, A + C = 0

On solving, ,    Where, u = t2 – t + 1 and du = 2t – 1   Rate this question :

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