Question

The acceleration of an object moving in a strange way has been modelled as a = e^xx .

a)  Use integration by parts to find an equation to model the velocity  if v = ∫ = e^xx dx

b) Is the problem any different if you find v = ∫ = xe^x dx

Answer 1

Solution;

Let ;

$v=x$ ;$dv=1$

And;

$du=e^x$ ;$u=e^x$

$\int xe^x=xe^x-e^x$

Since;

$xe^x$ is the same as $e^xx$ ,the problem is not different.