`int2x^3cosx^2dx`

Explanation

`int2x^3cosx^2dx` [Put `x^2=t
Then 2xdx=dt]
=`intx^2.cosx^2 .2xdx`
=`intt.cost.dt` [1=1st
cost=2nd]
=`t.sint-int1sintdt`
=tsint+cost+C
=`x^2sinx^2+cosx^2+C`