Solved: Refer to the figure. Using calculus, it can be
Chapter 8, Problem 43(choose chapter or problem)
Refer to the figure. Using calculus, it can be shown that the area of the first-quadrant region under the curve y 1/(1 x2 ) from x 0 to x a is given by the expression tan1 a. Use this fact to carry out the calculations on the following page.(a) Find the area of the first-quadrant region underthe curve y 1/(1 x2) from x 0 to x 1.(b) Find a value of a so that the area of the firstquadrantregion under the curve from x 0 tox a is: (i) 1.5; (ii) 1.56; (iii) 1.57. In each case,round your answer to the nearest integer.
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