If ∫ (\frac{x^{49} Tan^{-1} (x^{50})}{(1+x^{100})})dx = k(Ta... | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

If ∫ $\frac{x^{49} Tan^{-1} (x^{50})}{(1+x^{100})}$ dx = k(Tan-1 (x50))2 + c, then k =

A

$\frac{-1}{100}$

B

$\frac{1}{50}$

C

$\frac{-1}{50}$

D

$\frac{1}{100}$

Answer

$\frac{1}{100}$

Explanation

Solution

The correct option is (D) $\frac{1}{100}$