Question

Find F'(x) for the following

Answer 1

F(x) = \[\int\limits_{0}^{x} tsintdt\]

Answer 2

\(\huge \dfrac {d}{dx}\int _o^xf(t)dt = f(x)\)

Answer 3

so.. do i integrate it and then get its derivative?

Answer 4

not required. !
\(\huge \dfrac {d}{dx}\int _o^xf(t)dt = f(x) \\ \huge F'(x)=\dfrac {d}{dx}\int _o^x[t \sin t]dt = x \sin x\)

Answer 5

just 1 step solution....

Answer 6

but you can "integrate it and then get its derivative"
you'll get x sin x only.