Answer all, thank you.

Question 1 (10 points) Find f 4dx. Just enter the answer with no additional spaces or symbols. '9 Question 2 (40 points) Answer all 3 questions, showing your work and simplifying. You may type your answer or handwrite and upload a picture. 1) Refer to sections 1,2,3 in the course notes. Find the antiderivative of 4x7 6x+5 2) Refer to sections 1,2,3 in the course notes. Compute the integral: [(3et %)dt 3) Refer to section 3 in the course notes. Find a function g(x) with g' (x) = 8x3 9x2 + 4 and g(1) = 2. Question 3 (10 points) 3 Refer to Section 5 in the course notes. Find [1 [352 6S + 3]dS Just enter the number. Your Answer: Answer Question 4 (10 points) Refer to section 5 in the course notes. Choose the definite integral that represents the area of the shaded region in the graph: 1,5) FEE!) 0 Cannot be determined from the graph 0 f24f(x)dx Off ( x ) dx Question 5 (10 points) Refer to section 5 in the course notes. Is / f (x ) dx positive, negative or zero? 6 y=f(x) Positive Negative O Zero O Cannot be determined from the graphQuestion 6 (10 points) Which of the answers below is / xedx? HINT: You do NOT know how to integrate the above expression. See if you can work backwards to find the answer. ONone of these Oxex + 12ex 2 + C 2 (x2et - xe* + C Oxet - ex + C Oxer _ x2ex . Oxe* +ex + C 2 Oxzet + CQuestion 7 (10 points) Refer to section 5 in the course notes. The graph below is of the function: y=4 - x2. Compute the shaded area and enter your answer as a decimal rounded to 2 places. V Your