If ₀^b d x 1+x^2 = _b^ d x 1+x^2 , then b is equal to

Step-by-step solution

We have, aligned & ₀^b d x 1+x^2 = _b^ d x 1+x^2 & [ ⁻¹ x ]₀^b= [ ⁻¹ x ]_b^ & ⁻¹(b)- ⁻¹(0)= ⁻¹( )- ⁻¹(b) & 2 ⁻¹(b)-0= 2 & ⁻¹(b)= 4 b= ( 4 ) & b=1 aligned