# Homework Help: 2 Integral & 1 exponental problem.

1. Sep 7, 2009

### pillar

1. The problem statement, all variables and given/known data
Pictures courtesy of my ms paint skills.
1.http://img38.imageshack.us/img38/6023/problemb.png [Broken]
2.http://img32.imageshack.us/img32/7499/problem2o.png [Broken]
3.http://img44.imageshack.us/img44/5445/problem3.png [Broken]
These problems are so easy I hardly ever see them or get to apply there rules. So I need see if I'm doing these few problem right.
2. Relevant equations
1. use a/b+c 2. use a+b/c

3. The attempt at a solution
1. x+(x^2/2)
2.x+lnx

(e^x^2)^2= e^2x^2

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

Last edited by a moderator: May 4, 2017
2. Sep 8, 2009

### NJunJie

One way to learn to try some website like below:-
http://integrals.wolfram.com/index.jsp

then rework your solutions with the tools you have learnt.
simplify the difficult part into simpler ones and work on it.

Wanna try first? Thanks

3. Sep 8, 2009

### snipez90

You're a bit off on 1 and 2. For 1, the trick is to add and subtract 1 from the numerator and then divide. Knowing the antiderivative of 1/(1+x^2) is helpful here.

For 2, just divide, which is what you seemed to have done. But the antiderivative of 1/x^2 is not ln(x).

For 3, if all you have to do is simply, then yes you should get e^(2x^2).