Anyone know how to solve the following problems?

1. Integrate

∫(x-1) / (lnx) dx Limit 0≦x≦1

∫(x^Alpha)*lnx dx Limit 0≦x≦1

∫(sin x)^3 / (x^2) dx Limit 0≦x≦∞

∫((sin x )/ x) dx Limit 0≦x≦∞

2. (a) Evaluate ∫((sin x)^3) /((sin x)^3 + (cos x)^3) dx Limit 0≦x≦Pi/2

(b) What is the rate of change of f(x) = arctan (tan x) at x =Pi/2

3. A point mass m moves along the curve y = 2(X^2) due to gravity and no other external force is present. Determine the power of gravity as a function of Xo, g, t. (Xo means x knot)

Thanks!