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8/csc^2dx + 1/cos^2ydy (Am I right so far?)

My problem is I don't know (or remember) how to integrate neither 8/csc^2dx nor 1/cos^2y. Am I suppose to do know how to calculate if I have finished Calculus II? I reviewed Trig. and Calculus textbooks to figure out how to calculate them but so far could not find even a similar problem.

I also have no idea how to integrate the followings:

a. x/secx dx

b. 1/cot^2x dx

c. 1/cos3y dx

d. 1/sec^3 10x dx

Any kind of help would be highly appreciated!