
Originally Posted by
Ultra Mackness
Hey Gok, this is an integration by parts problem, combined with a watered down version of proof by induction. I'm limited to a phone for internet atm so can't attach anything, but for part a) if n=0 then we just integrate arctan(x) using ibp. Part b is algebraically a bit trickery, but done in the same way. part c you will need to use the results from parts a and b to substitute in for In-2. The second question is also ibp, but try doing the n=0 and n=1 cases first.
TO-Sideswipe- this problem applies some principles you would see in specialist math, but for us in Box, this is more a first yr unimath problem, you certainly won't see it in methods!