The area under the graph of y = 1/1 + x² and above the x-axis between x = a and x = b is given by

tan^-1 b – tan^-1 a

See figure

 

(a) Find the exact area under the graph of y = 1/1 + x² and above the x-axis between x = 0 and x = √3.

(b) Find the exact area under the graph of y = 1/1 + x² and above the x-axis between x = -√3/3 and x = 1.

Transcribed Image Text:

1.5 -3 3