Integration by substitution

I'm stuck on part B) and E) of these questions. Please may someone help? Thanks in advance for the help.

Here is the question.

Well, you are told the substitutions so you just need to convert these integrals to be entirely in terms of u.

Trig identities must be known. If your sub is u=sinx and cos^2(x) appears, then you can express it in terms of u since cos^2 = 1-sin^2.

Post your wotking out when you get stuck and we can direct you.

Solution to part b)

There is no need for partial fractions.

Notice that 1+u is a common factor between the numerator and denominator; it can be cancelled out.

For part E) how would I start?

For part E) how would I start?