56. [-/1 Points] DETAILS BERRAPCALCBR7 5.2.025.MI. MY NOTES ASK YOUR TEACHER Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) ( x6 + x + 1 + x-1 + x-2) dx 57. [-/1 Points] DETAILS BERRAPCALCBR7 5.2.031. MY NOTES ASK YOUR TEACHER Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) 20 + 2 dz 58. [-/1 Points] DETAILS BERRAPCALCBR7 5.2.033.MI. MY NOTES ASK YOUR TEACHER Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) xe + 5 dx 59. [-/1 Points] DETAILS BERRAPCALCBR7 5.2.037. MY NOTES ASK YOUR TEACHER Find the indefinite integral. [Hint: Use some algebra first.] (Use C for the constant of integration. Remember to use absolute values where appropriate.) (t - 4)(t + 6) di 1 2 60. [-/1 Points] DETAILS BERRAPCALCBR7 5.3.001. MY NOTES ASK YOUR TEACHER Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places. [Hint: The width of each rectangle is the difference between the x-values at its base. The height of each rectangle is the height of the curve at the left edge of the rectangle.] 10 y =5x 1 1.25 1.5 1.75 2 Q square units 61. [-/1 Points] DETAILS BERRAPCALCBR7 5.3.003. MY NOTES ASK YOUR TEACHER Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places. [Hint: The width of each rectangle is the difference between the x-values at its base. The height of each rectangle is the height of the curve at the left edge of the rectangle.] y =2Vx - N W 2 3 square units 62. [-/1 Points] DETAILS BERRAPCALCBR7 5.3.005.MI. MY NOTES ASK YOUR TEACHER Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places. [Hint: The width of each rectangle is the difference between the x-values at its base. The height of each rectangle is the height of the curve at the left edge of the rectangle.] 1 1.25 1.5 1.75 2 square units 63. [-/2 Points] DETAILS BERRAPCALCBR7 5.3.009. MY NOTES ASK YOUR TEACHER For the function, do the following f(x) = vx from a = 5 to b = 8. (a) Approximate the area under the curve from a to b by calculating a Riemann sum using 6 rectangles. Use the method described in this example rounding to three decimal places. square units (b) Find the exact area under the curve from a to b by evaluating an appropriate definite integral using the Fundamental Theorem. square units