1. ## Integral Help

I need some help with the following integral
$\displaystyle \frac{1}{2\pi}\ \int^\pi_{-\pi} e^{-ikt-t}dt$.....I get the following $\displaystyle \frac{-e^{-(ik+1)\pi} + e^{(ik+1)\pi}}{2\pi(ik+1)}$...is there any way to simplify it?

2. Originally Posted by AkilMAI
I need some help with the following integral
$\displaystyle \int^{\pi_-\pi} e^{-ikt-t}dt$.....I get th followint $\displaystyle (-e^{-(ik+1)\pi} + e^{-(ik+1)\pi})/(2/pi(ik+1))$...is there any way to simplify it?
Assuming you have done the integral correctly,

$\displaystyle (-e^{-(ik+1)\pi} + e^{-(ik+1)\pi})=0$ which makes the integral 0.

3. it is for a fourier series, the intregral is $\displaystyle e^{-t}e^{-ikt}$...which I wrote as above...I must have done something wrong it cannot be zero

4. I edited the post ,the 2 exponentials have different signs for the powers

5. Originally Posted by AkilMAI
I edited the post ,the 2 exponentials have different signs for the powers
Closed under rule #6: http://www.mathhelpforum.com/math-he...hp?do=vsarules