Please help me with the following questions!

Q1: Q3: Preview Consider the function f (x) = (x - 2)3. Preview (a) Estimate the area between the curve y = f(x), the x-axis, BONUS QUESTION. Prove that if f is continuous, then and the lines x = 2 and x = 6, using a Riemann sum with four rectangles (use the right endpoint rule). (b) Calculate the precise area by taking the limit of a Riemann ( f(w) (x - u) du = / ( F( 1) dt ) du. sum. Q2: Preview Elliptic integrals arise in the calculation of the arc length for ellipses, and were first studied by mathematicians and physicists such as Leonhard Euler around 1750. An example is the complete elliptic integral of the second kind, which is defined by . 7:/2 E(k) = VI - ke sin' x dx, 0