I"m doing a worksheet on integrals, and i have absolutely no idea whatsoever how to do the following problems.
sinx/1+x^2 (interval 1, -1)
1/2-3x (interval 2, 0)
x/x^2-4 (interval 10, 1)
csc^2dt
sinxcos(cosx)
Show your working
First of all your questions show that you haven't studied integrals at all
So the first suggestion is read the books/materials before solving the questions directly
sinx/1+x^2 (interval 1, -1)
Read integration by parts
1/2-3x (interval 2, 0)
Read integration by substitution
You will have to substitute 2-3x by t
x/x^2-4 (interval 10, 1)
substitute x^2-4 by t
cosec^2dt
what's differntiation of cot(x)
sinxcos(cosx)
Read this
and try it