1. ## Integration

im having problems with these integration problems. I just dont see how to get the answer. I dont have a problem integrating its just i don't see how to make these "look" integrable if you get what i mean: 1. integration of 1/(1+square root of (2x)) dx 2. integration of 1/(x^(2/3) *(1+x^(1/3)) dx 3. integration of (x(x-2)/((x-1)^3) dx . Thanks a lot i appreciate it

2. Originally Posted by jarny
im having problems with these integration problems. I just dont see how to get the answer. I dont have a problem integrating its just i don't see how to make these "look" integrable if you get what i mean: 1. integration of 1/(1+square root of (2x)) dx 2. integration of 1/(x^(2/3) *(1+x^(1/3)) dx 3. integration of (x(x-2)/((x-1)^3) dx . Thanks a lot i appreciate it
for the first one, set your denominator to another variable and do your substitution rule..

for the second one, set $\displaystyle u = 1 = x^{1/3}$..

for the third one,
$\displaystyle \int \frac{x(x-2)}{(x-1)^3} = \int \frac{x^2-2x}{(x-1)^3} = \int \frac{x^2-2x + 1 - 1}{(x-1)^3}$

$\displaystyle \int \frac{(x-1)^2 - 1}{(x-1)^3}$ and you can separate them..

3. thanks alot