54. 13 (+2 + 1) dtIn Exercises 57-66, evaluate the definite integrals exactly [as in In (37)], using the Fundamental Theorem, and numerically [ In (31) ~ 2.243]: I In Exercises 6776, decide if the statement is true or false by differentiating the right-hand side. 84. Find the exact area of the shaded region in Figure 6.25 between y = 3x2 - 3 and the x-axis. y = 3x2 - 3 X Figure 6.2598. Water is pumped into a cylindrical tank, standing vertically. at a decreasing rate given at time t minutes by m) : 120 6t ft3/mjn for 0 g t g 10. The tank has radius 5 ft and is empty when t = 0. Find the depth of water in the tank at t = 4