Question

find derivative: integral x=3 to sinx : 1/2 e^(t^2)dt

Answer 1

find derivative of an integral?

Answer 2

yeah

Answer 3

\[\frac{d}{dx}\int_{a(x)}^{b(x)}f(t)dt\to f(b)b'-f(a)a'\]

Answer 4

find derivative of the function which is an integral

Answer 5

\[\int_{a}^{b}f(t)dt=F(b)-F(a)\]
\[\frac{d}{dx}\ F(b)-F(a)=f(b)b'-f(a)a'\]