The value of ∫ tan^-1((2x - 1)/(1 + x - x^2))dx, x ∈ [0, 1] A. 1 B. 0 C. –1 D. π/4

Question

The value of ∫ tan^-1\(\Big(\cfrac{2\text x-1}{1+\text x-\text x^2}\Big)\)dx, is

A. 1

B. 0

C. –1

D. π/4

Answer 1

Correct option is B. 0

Use king’s property

On adding eq(1) and (2)

2y = 0

y = 0