Use Python to solve please

Use Python to solve each problem. In 1. Use the lambda command to define f(x) = 1 + x2 as an inline FUNC- TION. Most of the integrals in the parts below cannot be evaluated symbolically, so begin this problem by importing the quad command from the scipy.integrate package and using it: from scipy.integrate import quad (a) Find the area under the graph of f on the interval [1, oo). (b) Note f is negative on (0, 1). Find the area above the graph of f on this interval. (e) Find the volume formed by rotating the region from part (a) about the c-axis (d) On your own, set up an integral to find the volume formed by rotating the region from part (a) about the y-axis. In a print statement, explain how you know this integral diverges (HINT: "To what shall I compare thee...")