Thread: integrals

Hi, I reall need help on these two problems:

Let A = integral_0^1 (e^t)/(t+1) dt. Express the values of the following integrals in terms of A.

A) integral_(a-1)^a (e^-t)/(t-a-1) dt. (the integral from a-1 to a)

B) integral_0^1 (e^t)log(1+t) dt.

Thank you

Originally Posted by PersaGell

Hi, I reall need help on these two problems:

Let A = integral_0^1 (e^t)/(t+1) dt. Express the values of the following integrals in terms of A.

B) integral_0^1 (e^t)log(1+t) dt.

Thank you

Let u=ln(1+t) und v'=e^t
Integration by parts,
{e^t*ln(1+t)}_0^1 - INT(0,1) e^t/(1+t) dt
Thus,
e*ln(2) - A