Which of the following is the answer to ∫x2sin(3x) dx? Hint: Do not integrate directly. Differentiate and check.

we have the expression
[tex]\int x^2sin(3x)dx=-\frac{1}{3}x^2cos(3x)+\frac{2}{27}(3xsin(3x)+cos(3x))+C[/tex]Rewrite the solution
[tex]\frac{2}{9}xsin(3x)-(\frac{1}{3}x^2-\frac{2}{27})(cos(3x)+C[/tex]therefore