Calculus

Area Between Curves

Area between 2 curves

         

What is the area of the region bounded by the two curves y=−x2+2x+13,y=x2+9?y= -{x}^2+2x+13, y= {x}^2 + 9 ?

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If mm is a positive real number such that the area of the region bounded by the curve y=x2−xy={x}^2-x and the line y=mxy=mx is 323,\frac{32}{3}, what is m?m?

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Compute the area bounded by the curve y=x3−6x2+9xy = x^3 - 6x^2 + 9x and the line y=xy = x.

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What is the area of the region bounded by the curves y=ex−1,y=4e−x−1,y=0?y= {e}^x - 1, y= 4e^{-x} - 1, y=0?

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What is the area of the region bounded by the curve y=−x2+6xy= -{x}^2+6x and the line y=−8x?y=-8x ?

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