Question

The value of the integral I = ∫(√tan x + √cot x) dx, where x ∈ (0,π/2)

(a) √2 sin^–1 (cos x – sinx) + c 

(b) √2 sin^–1 (sinx – cos x) + c 

(c) √2 sin^–1 (sinx + cos x) + c 

(d) – √2 sin^–1(sinx + cos x) + c

Answer 1

Correct option is (a) √2 sin^–1 (cos x – sinx) + c