Question #5952a

1 Answer
Sep 22, 2017

#int(x^3/sqrt9+x^2 )dx=x^4/12+x^3/3+C#

Explanation:

#int(x^3/sqrt9+x^2 )dx#
simpified
#int(x^3/3+x^2 )dx#

using general formula #intx^ndx=x^(n+1)/(n+1)+C#

#int(x^3/3+x^2 )dx=intx^3/3dx+intx^2dx#
#=(1/3)x^4/4+x^3/3+C#
#=x^4/12+x^3/3+C#