Find the exact areas under each of the following curves:
(a) y = 2x² + x + 3 between x = 1 and x = 5
(b) y = (x − 2)² between x = 2 and x = 3
(c) y = 3√x between x = 4 and x = 25
(d) y = e^x between x = 0 and x = 1
(e) y = 1/x between x = 1 and x = e