I need to express the area of the region as a definite integral. f(x)=-x^(2)-2x+3 Thanks for your help.
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Originally Posted by nystudent2729 I need to express the area of the region as a definite integral. f(x)=-x^(2)-2x+3 Thanks for your help. where F is the antiderivative of f(x) You need to give us the a and b so that we can tell you the area of the reagion. For example if you want the area of a region of f(x)=-x^(2)-2x+3 from x=0 to x=6 the answer should be
I need to express the area of the region from -3 to 1 as a definite integral: f(x)=-x^(2)-2x+3
Originally Posted by nystudent2729 I need to express the area of the region from -3 to 1 as a definite integral: f(x)=-x^(2)-2x+3 = area of region
Dear nystudent2729, you can easy check out that -3 and 1 is the roots of equation f(x) = 0. And f(x) > 0 in the given interval, therefore the area is the integral from -3 to 1. This is elemtary integral, what is the problem?
Originally Posted by fonso_gfx where F is the antiderivative of f(x) You need to give us the a and b so that we can tell you the area of the reagion. For example if you want the area of a region of f(x)=-x^(2)-2x+3 from x=0 to x=6 the answer should be This doesn't give the area of the region. It gives the signed area of the region. There's a big difference.
Last edited by mr fantastic; December 18th 2008 at 11:38 PM.
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