1. ## antiderivative of e^-x

what is the antiderivative of e^-x ?

2. Originally Posted by cottekr
what is the antiderivative of e^-x ?

$\displaystyle -e^{-x}$

Do you understand why?

3. Originally Posted by cottekr
what is the antiderivative of e^-x ?

What is the antiderivative of $\displaystyle e^x$? And if now you change the sign in the exponent how does that affect the antiderivative?

Tonio

4. I do understand, thats what I thought the answer was, but I was using an online antiderivative calculator and it said the asnwer was 1/(e^x logx)

is the antiderivative of sin(pi*x) -cos(pi*x)/pi ?

5. Originally Posted by cottekr
I do understand, thats what I thought the answer was, but I was using an online antiderivative calculator and it said the asnwer was 1/(e^x logx)

This what may happen when one gives too much trust onto those stupid electronic devices. It's better to think.

is the antiderivative of sin(pi*x) -cos(pi*x)/pi ?
This is a question poorly redacted, but yes: $\displaystyle \int \sin \pi x\,dx=-\frac{\cos \pi x}{\pi}$

Tonio