Integral Help

[MrCodeDude]

How do I integrate this:

x * [ e ^ (a * x^2) ]

a is a constant

 

[Goosemaster]

1/2 e ^ (a * x^2) + 2ax^2^ * e ^ (a * x^2)



Keep in mind I am watching football

 

[Daishiki]

yea, use product rule, remember d(e^blah)/dx = (e^blah)(d(blah)/dx)

 

[MrCodeDude]

Originally posted by: Goosemaster
e ^ (a * x^2) + 2ax^2^ * e ^ (a * x^2)



Keep in mind I am watching football

Heh, me too.

Thanks a lot. And Go Panthers!

 

[jmcoreymv]

let u = ax^2 so du=2ax dx so the integral becomes (1/2)*a*integral ( e^u) du

 

[MrCodeDude]

Originally posted by: jmcoreymv
let u = ax^2 so du=2ax dx so the integral becomes (1/2)*a*integral ( e^u) du

:heart: 4 u 🙂

 

[Goosemaster]

Originally posted by: MrCodeDude

Originally posted by: jmcoreymv
let u = ax^2 so du=2ax dx so the integral becomes (1/2)*a*integral ( e^u) du

:heart: 4 u 🙂

whoops....I forgot the 1/2