I am having trouble with the following question.
If $F(x)=\int_{0}^x xf(t) dt$, find F'(x).
Please help
Thank you in advance
I am having trouble with the following question.
If $F(x)=\int_{0}^x xf(t) dt$, find F'(x).
Please help
Thank you in advance
Well, notice first that you can pull $x$ out of the integral. Then, you can use the product rule and the fundamental theorem of calculus to obtain the answer. Remember that $\frac{\text{d}}{\text{d}x}\int_{0}^x f(t)\text{d}t=f(x).$