Thursday

April 24, 2014

April 24, 2014

Posted by **Anonymous** on Monday, February 9, 2009 at 6:00pm.

I = f (x^3)(e^(x^2)) dx

(Let "f" represent the integral)

Let u = (e^(x^2)), dx = (1) / (2x(e^(x^2))) du

Let dv = x^3, v = (x^4) / (4)

I = (1/4)(x^4)(e^(x^2)) - (1/4) f (x^3) (2(e^(x^2))) du

... and now I don't know what to do. I don't know how to take the antiderivative of (e^(x^2)).

- Math - Indefinite Integration -
**drwls**, Monday, February 9, 2009 at 6:58pmYou chose the wrong parts to break it up into. The integral of e^x^2 cannot be written in closed form. Use the fact that 2x e^x^2 is the derivative of e^x^2, and choose du = x e^x^2 dx,

u = (1/2)e^x^2

v = x^2

dv = 2x

The answer can be found at

http://www.karakas-online.de/forum/viewtopic.php?t=9515

**Related Questions**

integration by parts - s- integral s ln (2x+1)dx ? = ln(2x+1)x - s x d( ln (2x+1...

Integral - That's the same as the integral of sin^2 x dx. Use integration by ...

integration (calculus) - Find the indefinite integral. ∫((e^-x-1)/(e^-x + ...

Calculus - I don't know if I did these problems correctly. Can you check them? ...

Calculus - "Evaluate the following indefinite integral using integration by ...

calc - how do you start this problem: integral of xe^(-2x) There are two ways: 1...

math - how do you solve: integral:(x-1)sqrt(x) dx There aren't any limits of ...

calculus - Use integration by parts to evaluate the integral of x*sec^2(3x). My ...

Math Integration - Integrate: f (x)/(2x + 1) dx let f represent integrate sign ...

integral confusion - integral of Sec[2x]Tan[2x] i know u is sec 2x du=...