The integralegral (∫\frac{dx}{x^2(x^4+1)}^{\frac{3}{4}}) equ... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The integral $∫\frac{dx}{x^2(x^4+1)}^{\frac{3}{4}}$ equals_____.

A

$(\frac{x^4+1}{x^4})^{\frac{1}{4}}+C$

B

$({x^4+1})^{\frac{1}{4}}+C$

C

$-({x^4+1})^{\frac{1}{4}}+C$

D

$-(\frac{x^4+1}{x^4})^{\frac{1}{4}}+C$

Answer

$-(\frac{x^4+1}{x^4})^{\frac{1}{4}}+C$

Explanation

Solution

The correct option is (D):

$-(\frac{x^4+1}{x^4})^{\frac{1}{4}}+C$