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