# Doubt from indefinite integrals

**Puja_2020**#1

Okay I have something to be done but it is wayy too long :

Here's my method

First substitute √x = t

Then t= tan(@)then convert to half angle formula

Then substitute tan(@/2) = m

Then solve by partial fractions.

But this is way too long and it will take more than 15 mins -20 mins

Will need to think about some short method.

**Sneha_2021**#3

make diffrence from denomenator in numerator u will get diffrence as x then break into two form

then take root x=t then integration will be easy..