In calculus, it is shown that the area of the region bounded by the graphs of y = 0, y =

Chapter 5, Problem 118

(choose chapter or problem)

Finding the Area of a Plane Region In calculus, it is shown that the area of the region bounded by the graphs of y = 0, \(y = 1(x^2 + 1)\), x = a, and x = b is given by

Area = arctan b − arctan a

(see figure). Find the area for each value of a and b.

(a) a = 0, b = 1

(b) a = −1, b = 1

.

(c) a = 0, b = 3

(d) a = −1, b = 3

Text Transcription:

y = 1(x^2+1)

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