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