Find the indefinite integral and check the result by differentiation. X | (6 - 5x23 1 20(6 5x)2 - dx + C X Find an equation for the function of that has the given derivative and whose graph passes through the given point. Derivative Point f(x) = f'(x) = 3 sin(6x) (---, - 1/7 ) The graph of a function f is shown. Use the differential equation and the given point to find an equation of the function. dy dx -16 (2x + 5)3 4 y(x) = (2x+5)2 +2 9 -6 -2 y 6 4 (-1,3) 2 2 X Find the area of the region. Use a graphing utility to verify your result. 3 2x - x + 1 dx . 30 25 20 y 15- 10- 5- 2 6 8