Question: The area under the graph of and above the x-axis between x = a and x = b is given by sin -1 b

The area under the graph of 1 y = 1 + x

and above the x-axis between x = a and x = b is given by

sin-1 b – sin-1 a

See the figure.

1 y = 1 + x

(a) Find the exact area under the graph of 

and above the x-axis between x = 0 and x = √3/2.

(b) Find the exact area under the graph of

and above the x-axis between and x = -½ and x = ½.

1 y = 1 + x

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