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Find the area between the two curves ?(?) = ? − 5 and ?(?) = 3?...

Find the area between the two curves ?(?) = ? − 5 and ?(?) = 3? 2 + 3? + 4 over the interval [−1, 2] (include a sketch of the region):

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Answer #1

we have

we have to find the area between a curve f(x) and g(x) on an interval [a, b] given by,

put f(x) = x-5, g(x) = 3x2+3x+4, a = -1 and b = 2,

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