Problem 1. Approximate the following integrals using 4 sub-partitioning of the interval and the left-end points. Draw a picture. [x2 - 1dx Problem 2. Solve using the Fundamental Theorem of Calculus: a) Jx' - Idx b) f1-zdz Problem 3. The graph of the function f(t) is given on the right. Using graph and the information about the area between the graph and the x-axis calculate: a) If (1)at = 10 Area = 35 ") If (t)dt = -1 MATH 2200, Calculus 1, Quiz 6 Page 1Problem 6. Solve the integrals: [Show work!] a) 12 - 3 4 /tdt = b) (z-11)(z + 2) dz = c ) febxtidy = d) xsin( 5x2 - 3) dx = e ) [( Vx- 4)' dx = Vx MATH 2200, Calculus 1, Quiz 6 Page 3Problem 4. Evaluate the integrals: 1/2 a) dx = b) [ ( 3 +x2 - 4Vx)dx = ") S ( 312 + 21 0 )dt = a) J (sin 0-3sec' 0)do = Problem 5. Match the functions f whose graphs are given in (a) and (b) with the area functions A(x) =[ f(1)dt whose graphs are given in (c) and (d). Explain your choice. (a) (b) (c) y = f (1) y = f(1) y = A(x) y = A(x) O (D) (a) matches with because (b) matches with because MATH 2200, Calculus 1, Quiz 6 Page 2Problem 7. The graph of the function f(x) is given on the picture on right. 13 1 y For the function f(x): a) Calculate using geometry b) Calculate using geometry c) Calculate using geometry. If ( )dx=