In calculus, it is shown that the area of the region bounded by the graphs of y = 0, y = 1 / (x2 + 1), x = a, and x = b (see figure) is given by Area = arctan b ˆ’ arctan a.

Find the area for each value of a and b.
(a) a = 0, b = 1
(b) a = ˆ’1, b = 1
(c) a = 0, b = 3
(d) a = ˆ’1, b = 3

Transcribed Image Text:

y x² + 1 1 х -2 2