2 Integral & 1 exponental problem.

[pillar]

Homework Statement

Pictures courtesy of my ms paint skills.
1.http://img38.imageshack.us/img38/6023/problemb.png
2.http://img32.imageshack.us/img32/7499/problem2o.png
3.http://img44.imageshack.us/img44/5445/problem3.png
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.

Homework Equations

1. use a/b+c 2. use a+b/c

The Attempt at a Solution

1. x+(x^2/2)
2.x+lnx(e^x^2)^2= e^2x^2

I await your responses thanks.

Homework Statement

Homework Equations

The Attempt at a Solution

 

[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

 

[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).