Question

Integrate using partial fractions:

Answer 1

\[\int\limits_{?}^{?}\frac{ 1 }{ \sqrt{x}-\sqrt[3]{x}} dx\]

Answer 2

hmmmmmmmmmmm....

Answer 3

Wait a minute, I've seen this question before. Lol

Answer 4

Must you use PFD?

Answer 5

Yup, if you have seen this question, you might've seen it in the textbook "Calculus of a Single Variable".

Answer 6

let u = x ^ (1/6) , x = u^6 , dx = 6u^5 du
so, x ^(1/2) = u^3
and x^(1/3) = u ^2