Please solve the problem using Python!

Problem 1. Plot both the function f(), and its integral f(x)dx (as area under the curve) on the same plot for each of the following functions (take 1x5 ): 1. f(x)=1 2. f(x)=x 3. f(x)=x2 4. f(x)=xn for n=3 5. f(x)=x 6. f(x)=ex 7. f(x)=2x 8. f(x)=logx 9. f(x)=sinx 10. f(x)=cosx Color curves for f in green and "rectangles" in red, values for f(x=1) and f(x=1) in black