Inless indicated otherwise, show hand work using Calculus for full credit. For each definite integral below, use the Fundamental Theorem of Calculus to compute its exact value. Simplify your answers. (a) S3 2 x dx ( b ) . dx . X 2 if 0 sx s 3, 2. Let f(x) = 2x - 4 if x z 3. Graph y = f(x) for 0 s x s 19. Then compute the definite integral S f(x) dx. Hint: See "Evaluate Definite Integrals using Area Above minus Area Below the x-axis" (3:57 video) by Mathispower4u.Use an antiderivative and the Fundamental Theorem of Calculus to determine the exact value of the constant a, given that the area under the graph of f(x) = 10x between x = Q and x = 5 is equal to 20. Draw a picture and shade the region.. Check your answer by using a trapezoid area formula to verify that the area is close to 20. For full credit, show your check work details. Hint: For trapezoid area, see "Find the Area Under a Slanted Line Using a Geometric Formula - Trapezoid Area" (2:59 video) by Mathispower4u