# Thread: Indefinite and Definite Integral Problems

1. ## Indefinite and Definite Integral Problems

Hey everyone, I had trouble with these problems from my homework. I;m doing OK with the more basic integration, but these seem a bit more complicated. Can someone work these out step by step so that I can follow the flow of the problems?

Thanks.

S= symbol for integration

Indefinite:
1) S(3x^1/2 + e^x - 2/x + 3^1/2 + 2/x^3/2) dx

2) S((ln x)^3/x)dx

3) S(x^2/x^3+2^1/2)dx

definite INtegrals:

problem 4:
2
S(1-1/x +1/x^2) dx
1

Problem 5:
2
5)S(e^x - 1/x^3/2) dx
1

2. For 1 I got:
2x^3/2 + e^x - 2 ln[x] +3^1/2x - 4x^-1/2 + C

3. For 5, I got:

e^x + 2x^-1/2

Then plugging in the 1 to 2 on the integration sign I get:

[e^2 + 2(2)^-1/2] - [e^1 + 2(1)^-1/2]

4. For 4, I got:

x - ln[x] - x^-1

{(2) - ln[2] -(2)^-1} - { (1) - ln[1] -(1)^-1}

5. For 3,

1/3S(ln [u])+C

1/3ln[x^3 +2^1/2] + C