- #1
p75213
- 96
- 0
Homework Statement
F is an antiderivative of f, so F’=f.
[tex]\begin{array}{l}
\int_{g(x)}^{h(x)} {f(t)\,dt} = F\left( {h\left( x \right)} \right) - F\left( {g\left( x \right)} \right) \\
\frac{d}{{dx}}\int_{g(x)}^{h(x)} {f(t)\,dt} = F'\left( {h\left( x \right)} \right)h'\left( x \right) - F'\left( {g\left( x \right)} \right)g'\left( x \right) \\
\end{array}[/tex]
Homework Equations
Can somebody show how to find the derivative of the following integral?
[tex]\frac{d}{{ds}}\int_0^\infty {f\left( t \right){e^{ - st}}dt} [/tex]