Integral

**peteryellow** · August 30th 2009, 09:07 AM

Determine

$\int \frac{1}{1+2x^2}$ .

**Random Variable** · August 30th 2009, 09:14 AM

$\int \frac{1}{1+2x^2} dx = \int \frac{1}{1+(\sqrt{2}x)^{2}} dx = \frac{1}{\sqrt{2}} \int \frac{1}{1+u^{2}} du$ $= \frac{1}{\sqrt{2}} \tan^{-1} u + C = \frac{1}{\sqrt{2}} \tan^{-1} \sqrt{2}x + C$

For simple integrals like this one, Wolfram Alpha will give you all of the steps.

EDIT: Actually it doesn't for this one.

Thread: Integral

LinkBack

Thread Tools

Display

Integral

Similar Math Help Forum Discussions

Use Cauchy's integral theorem for derivatives to evaluate the contour integral.

Graph the region of integration and evaluate the double integral (integral from 0 to

Explaining result: comparing line integral and two-form integral

write [integral of] dx/SQRT(sinx) in terms of an elliptic integral

Evaluating a double integral to find its signle integral.

Search Tags