it depends , but alot of the time when you have a variable with a power, you just add 1 to the power and divide all of that by what you get for instance :
becomes
finding an anti derivative is based on these steps:
1) Known formula,which gives an immediate integral
now,when things get serious,you have to use at least one of those:
2)U substitution
3)Integration by parts
4)Partial Fractions
5)Trig substitution
6)complete the square
that`s about it i think