Thread: Finding the Integral (probably using partial fractions)

1. Finding the Integral (probably using partial fractions)

So, our teacher taught us this new method of solving integrals which I thought was so much easier than trig substitution! But as she was going through it, I did not fully understand. I knew it was fully logical though. The problems on the board seemed so much easier than this problem

I got this as my answer: (log[-5 + e^x] - log[6 + e^x])/11

But my teacher told me to try again. What did I do wrong?

2. Originally Posted by C.C.
So, our teacher taught us this new method of solving integrals which I thought was so much easier than trig substitution! But as she was going through it, I did not fully understand. I knew it was fully logical though. The problems on the board seemed so much easier than this problem

I got this as my answer: (log[-5 + e^x] - log[6 + e^x])/11

But my teacher told me to try again. What did I do wrong?
Well, what did you do? Did you let $e^x=z$ transorming this integral into one that easily conforms to P. Fracs?

3. I got it!

1/11 log|e^x-5|-1/11 log|e^x+6|+C

Thanks!