Some Review Problems Exam 2

Find y' at x = 1/2, for y = f(sin^{1}(x)),
where f(x) is a function such that
f '(Pi/6) = 7.
 Find the exact value of:
tan(sin^{1}(1/3))
 Simplify:
sin(sec^{1}(x))
 Evaluate:
 Evaluate using integration by parts:
 Evaluate using completing the square:
 Evaluate using partial fractions:
 Determine whether the following improper
integrals converge or diverge; justify your answers:
 Use a comparison to determine whether the following improper
integral converges or diverges; completely justify your answer:
 Use a comparison to determine whether the following improper
integral converges or diverges; completely justify your answer:
(x^{2} + x)/(x^{3} + 2) dx
_{1}