1) Consider the integral: \"31:7" x3)dx 0 The graph of f (x) = 3x2 x3 is below: a) Approximate the integral using right sums with six rectangles. Draw the rectangles and show all work. b) Approximate the integral using le: sums with six rectangles. Draw the rectangles and show all work. c) Find the exact value of the integral using Riemann sums. Use the following limit definition for area: Area =1im Zf(x)Ax =1 n)) _ I You will need to use the following summation formulas: .. ,2_n(n+l)(2n+l) \"1:3: n(n+l) 2 g: ' 6 Z i 2 ] (I) Find the exact value of the integral by using the Fundamental Theorem of Calculus (evaluate the denite integral using antiderivatives)