Not a homework question, a test question that I already took.
After the test it suddenly hit me that I can convert it into Csc^2 but I did it in a totally convoluted way on the test
can someone check whether I’m right.
I did it via integration by parts
so xcot^2 - 2Sxcot(csc^2)dx
second integration by parts
v= S cot(csc^2)
I made u one csc, and du csc(cot), and I inverted the preceding sign.
By now it’s too hard to organize it in a textbook or transcribe it from paper so whatever answer I got from the above is what I got on the test. Maybe I commited an arithmetic error (like - instead of + in one or more instances but I won’t lose all credit for that)
Was at least my procedure correct?
Something tells me I’m not allowed to use the Power Rule with squares of trignometric functions but I hope I’m wrong.