Question

If ∫ t/1 + t² x∈[e^-1, tanx] dt ∫ dt/t(1 + t²) x∈[e^-1, costx]  dt =

(a)   1 

(b)   e 

(c)  e ^–1

(d) π/4

Answer 1

Correct option (a) 1

Explanation:

Put t = 1/Z   in 2nd integral

dt = - 1/z²  dz

2nd integral reduces to