How do you integrate #f(x)=x^3cosx# using the product rule?

Related questions

• What is the Product Rule for derivatives?
• How do you apply the product rule repeatedly to find the derivative of #f(x) = (x - 3)(2 - 3x)(5 - x)# ?
• How do you use the product rule to find the derivative of #y=x^2*sin(x)# ?
• How do you use the product rule to differentiate #y=cos(x)*sin(x)# ?
• How do you apply the product rule repeatedly to find the derivative of #f(x) = (x^4 +x)*e^x*tan(x)# ?
• How do you use the product rule to find the derivative of #y=(x^3+2x)*e^x# ?
• How do you use the product rule to find the derivative of #y=sqrt(x)*cos(x)# ?
• How do you use the product rule to find the derivative of #y=(1/x^2-3/x^4)*(x+5x^3)# ?
• How do you use the product rule to find the derivative of #y=sqrt(x)*e^x# ?
• How do you use the product rule to find the derivative of #y=x*ln(x)# ?