Question: Find the following denite integrals using area formulas from geometry and properties of denite integrals, Without using the Fulldamental Theorem of Calculus. Sketch a graph representing the integral. Hint: UsWte that the integral in part (b) will be a function of x, and when plugging x = 5, your answer needs to match part (a). 5 (a) f 2m = II] (b) 31m: 3 Question: Consider the integral f exf"(ex)dx for some function f(x), whose second derivative 2 f"(x) is continuous. (a) Solve it by expressing the solution in terms of values of f(x) or its derivatives. Carefully show all work. 3 (b) Select a_ll of the following that are equal to f e1 f\"(e")dx, and support your answer with short ex- -2 plainations. (i) limit of a Riemann Sum (ii) signed area between elf"(e") and x-axis on the interval [2, 3] -e3 (m) fez f (um (iv) f'(ex)+C