Use PYTHON to solve each problem.

1. Given f(x) = (where a > 0): 1/x^4(x^2a^2)

(a) Find the area bounded between the curve and the x-axis on the interval x [2a, 4a]. (NOTE: Use the Fundamental Theorem of Calculus instead of a definite integral with Pythons integrate command! Refer to Lab 1 #1ab.)

(b) Find the approximate value of a for which the area is exactly 5