Thread: Integration

how would you integrate;


i get how to arrange it e.g thereby and but the thing is i dont know how to integrate
and also;



i know the general formula for solving this;

=

this is not homework, its just the last two parts f) g), the rest i solved, but i cant solve this one, im still working on it though. Thanks if anyone can help me out.

Originally Posted by Heinsbergrelatz

i get how to arrange it e.g thereby and but the thing is i dont know how to integrate

ignore me if it was just a typo, however by setting u=1 and v'= arctan(x) you have simply rewritten the problem in terms of extra variables.

Try integrating for v' = 1 and u = arctan(x).

ignore me if it was just a typo, however by setting u=1 and v'= arctan(x) you have simply rewritten the problem in terms of extra variables.

Try integrating for v' = 1 and u = arctan(x).

you are in fact right, i made a mistake, switching them in position will perfectly fine. because we can differentiate the and the integration of becomes

then the result will be;



the integration is now possible using the substitution, thanks