Evaluate the double integral: ∫01 ∫01 1√((1 - x2)(1 - y2)) dx dy

What is the value of the definite integral 10∫ x dx?

The value of the double integral ∫12 ∫0y/2 y dx dy is:

If f(x) = x3 - 6x2 + 9x + 1, then the local maximum and local minimum values of f(x) are, respectively: