Laplace transforms to do integrals?

[cragar]

My teacher said that the computer uses laplace transforms to do integrals , does anyone know how this is done , or where i could find info on this

 

[matematikawan]

The integral $$\int_0^t f(t) dt$$

is the inverse Laplace transform of $$\frac{F(s)}{s}$$

I don't think that evaluating Bromwich integral of F(s)/s is much easier than evaluating the integral f(t) directly. But who knows, may be its true with computer.