I WANT THIS HAND WRITTEN ONLY PLEASE WITH BLUE OR BLACK INK PEN ONLY WRITTEN VERY VERY CLEARLY, THANK YOU.

3} Find the area of the region between the Curves yr = 15 x2 and y = x3 from x = 1 to x = 2. Show yeur work, including a good diagram, the limits of integration, and the antiderivative. 9) Suppose the function f is defined as follows: f(x) = 9x2 - 10x + 5 Find a number k in the interval [2, 5] such that f(k) = = ], 9x2 - 10x + 5dx . Give the exact answer and a decimal approximation to 6 decimal places