Integral Calculus Problems Book

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Calculus problem area between curves…?

I know that the integral of an odd function between -a and a is 0, and sum/difference of odd functions is odd. y=mx and y=x/(x^2+1) are both odd and I m supposed to find the area between the curves for 0

Area is positive. Keep in mind that the areas between the curves on each side of the y-axis would be equal due to the symmetry of odd functions. Or if you must integrate with the limits, (+/-)sqrt((1-m)/m), the curve on top on the +x side will be on the bottom on the -x side.

Stewart’s Calculus Problem 12.3.7

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