Doubt from indefinite integrals

solved
moderate
indefinite-integration
find-integral
pp
#1


Please help in integrating.

#2

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.

#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..

#4