Integration of exponential :( (1 Viewer)

[enigma_1]

How do you integrate xe^x ??

 

[obliviousninja]

Isnt this by parts?

 

[Trebla]

How do you integrate xe^x ??

Hint: consider the derivative of xe^x

 

[enigma_1]

Yeah trebla's thing is part a. But i dunno what to do afterwards

 

[seanieg89]

Yeah trebla's thing is part a. But i dunno what to do afterwards

 

[enigma_1]

fuarkkk legend. I suck at this manipulation stuff.

 

[seanieg89]

fuarkkk legend. I suck at this manipulation stuff.

In future, remember that most of the questions of this form (where they first get you to differentiate something, and then ask you to integrate something similar) follow a predictable pattern:

You want to write the function you are trying to integrate as the derivative of something (which will be closely related to your answer to the first part) + stuff. Where "stuff" is straightforward to integrate, and is even just 0 sometimes.

To practice this motif, differentiate x*log(x) and hence integrate log(x). (Where log is the natural logarithm.)

If you want still more practice, differentiate x*sin(x) and hence integrate x*cos(x).