06.12 Integration and Accumulation

A piecewise function made up of a triangle, a rectangle, and a semicircle is shown. A 10y 14 12 16 18 Find the accumulation of change under the curve from x = -10 to x = 15 using geometric formulas. ('l 0 points) O 114.2699 units2 0 35.7301 units2 O -14.2699 units2 0 432.0795 units2 4. (06.02 MC) Find the trapezoidal Riemann sum approximation of Jo Vx2 + 3dx using four equal partitions. (10 points) Of(0) + f(4) + (0.5) [f(1) + f(2) + f (3)] Of(0) + f(1) + f(2) + f (3 ) + f(4 ) O (0.5) [f(1) + f(2) + f(3) + f(4 ) + f(5)1 O (0.5) [f(0) + f(4)] + f(1) + f(2) + f(3) W Q 5. (06.02 MC) [I-(-2+31) 3 What integral can be approximated with the following: /=1 2 (10 points) O( 5 ( -2 + x )3 dx 1-27X O (35 x3 dx Jo 2 (35 (-2+3x) 3 dxW 6. (06.03 MC) Which of the following is equivalent to [(- 2x + 2) dx ? (10 points) 2 . 4 O 0.5(10 + 6) O - 2 . -4 0.5(10 + 6) . 2 W Q 7. (06.04 MC) If 1 2 127(x) +2]dx =18 andJ, ? ((x)dx=- 8, then fif(x)ax; is equal to which of the following? (10 points) 0 4 O o O -2 O - 4\fW 9. (06.06 MC) (2x _ _)22 Which of the following is an antiderivative of X (10 points) 4 -X +4X -+6 1 3 X 4 1 2X - 4x - -+6 X x5 - 4x - In x+6 O I only O lI only O ll and Ill O l and II