$\displaystyle

\int_{-\infty}^{\infty} \frac{dx}{x^2(1+e^x)}

$

$\displaystyle

\int_{1}^{\infty} \frac{e^-x}{\sqrt{x}}dt

$

i can't find the anti-derivative of these

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- Mar 9th 2010, 01:14 PMlarryboi7Integral
$\displaystyle

\int_{-\infty}^{\infty} \frac{dx}{x^2(1+e^x)}

$

$\displaystyle

\int_{1}^{\infty} \frac{e^-x}{\sqrt{x}}dt

$

i can't find the anti-derivative of these - Mar 9th 2010, 06:01 PMTKHunny
1) Assuming they converge, the definite integral has a specific value. Call the value "A". The subsequent anti-derivative, then, would be Ax + C.

2) Can you prove that they converge? I'm worried about that first one around x = 0.

3) That last one is kind of an Error Function, isn't it? Maybe its complement?

4) What is your assignment and why do you believe either anti-derivative can be determined? - Mar 9th 2010, 06:22 PMlarryboi7
- Mar 9th 2010, 10:26 PMPulock2009