Indefinite Integral

Question

I need help solving a couple of indefinite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to due these ones:

 

First problem:

(integral symbol)(3x^3-2x+e^x+3/2)dx

 

for this question ^ I've so far gotten the antiderivative as 3x^4/4-x^2+e^x+3lnIxI+c 

 

^(the capital I's are supposed to be absolute value signs)...but the answer seemed to simple so I wasn't sure if I was right.

 

Second problem:

(integral symbol)((e*sqrt of Y)/(2*sqrt of y)+(1-y)e^(2y-y^2))dy

 

I'm very confused on how to do most of these so if there's a basic way to do it I'd love to learn it as I can't post every problem on here (although each one is more complicated than the last)

 

Thank you!

Answer 1

These comments pertain to the first problem above:

 

3/2 integrates to 3x/2 not ln (x). This appears at the end of this problem.

 

1/x integrates to ln (x)  (Which is not part of this problem.)