Pre University level Indefinite integral need help with

Hello, and welcome to FMH! :)

Using partial fraction decomposition, what do you get for:

[MATH]\frac{x^2+3x+3}{(x+1)^3}[/MATH] ?
 
EulerIsMyDad said:
I got 1/(x+1)^3+1/(x+1)^2+1/(x+1)
Click to expand...
That looks good.

Now use that in your original "expression" and integrate by parts. I have not done the integration - but looks like there will be three parts to integrate. Could be kind of long!!
 
Subhotosh Khan said:
That looks good.

Now use that in your original "expression" and integrate by parts. I have not done the integration - but looks like there will be three parts to integrate. Could be kind of long!!
Click to expand...
i have tried this but it doesnt seem to get me anywhere as when i do parts i have e^-xsinx as my u and the three partial fractions as my dV/dx, and it doesnt get any simpler.
 
EulerIsMyDad said:
i have tried this but it doesnt seem to get me anywhere as when i do parts i have e^-xsinx as my u and the three partial fractions as my dV/dx, and it doesnt get any simpler.
Click to expand...
Can you do the following indefinite integration:

\(\displaystyle \displaystyle{\int e^{-x} * sin(x) dx}\)
 
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