help! integrating exponential (1 Viewer)

[simDS]

how do you find the integral of xe^x^2 bounderies x=1-2

thanks

 

[kurt.physics]

how do you find the integral of xe^x^2 bounderies x=1-2

thanks

Let , note that

Now look back at the integral



Now one integral you have to remember is



But comparing this to our integral, we have x but we need 2x, so in order to solve the integral, consider the following:



Now as

then the two integral are exactly the same except we can work on the one we found.





Now we know that:



(because of the integral "formula" i mentioned)

so the problem becomes





which is the answer, you could find an approximation but it isnt neccesary.

 

[simDS]

thank you so much!

 

[Aquawhite]

You're so quick to answer these kurt. You beat me once again >.<

 

[kurt.physics]

You're so quick to answer these kurt. You beat me once again >.<

And yet you were still a worthy opponent .... good luck for battle to answer the next question

 

[Aquawhite]

I can really see you going insanely well in the HSC... You seem to a very intellectual and bright young child.