r/learnmath•
MRJam314

Having trouble finding the area between two curves question

I need to find the area between y=2x-x^2 and y=-x and I keep on getting 7/6 but the answer in my textbook is 9/2.

My work: 2x-x^2 and -x intersects at x=0 and x=1, therefore A(x)=F(1)-F(0) f(x)=(2x-x^2)-(-x) F(x)=(3/2)x^2 - (1/3)x^3 When I plug in F(1)-F(0) I get 7/6. Can anyone spot my mistake?

Posted May 29, 2019, 1:06 AM UTC

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