Hello,

Firstly I would like to say hello, and I'm new to these forums but I think I will use this forum very frequently

At the moment these two problems are difficult for me to solve.

First problem is:

(d/dx) ∫ (0 to tanx) e^(t^2)

Image of the problem http://i.imgur.com/D6Qh9.jpg

Second problem is:

the area of ∫ (-1 to 1) (x-3)/(x^2+1)

Image of the problem http://i.imgur.com/q8EKU.jpg

I think the answer to the first problem is e^[(tanx)^2] * (secx)^2, but unsure if that's actually correct.

I believe the answer to the second problem Is [(1/2)(x^2)-(3x)] * arctanx? Therefore 35pi/8 + 7pi/8 = 21pi/4, but I get the feeling that this is wrong.

Any help would be much appreciated. Thank you