Evaluate the following integrals. z represent integral sign:-
(a)Z xe¡x dx.
(b) Z x(4 + x2)^10 dx. (Hint: use the substitution u = 4 + x2.)
I'm sorry, what does the i represent in your first integral? Did you mean ????
If so use integration by parts!
For the second one:
Hence
Hence
Now you can replace your original integral :
You can do this, no? (remember to change back to original variable once you've integrated!)