Find the area under the given curve over the indicated interval.\ y = x^2 + 3x + 2; [2, 6] The area is \frac{224}{3}. (Simplify your answer.)
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The antiderivative of x^2 is (1/3)x^3, the antiderivative of 3x is (3/2)x^2, and the antiderivative of 2 is 2x. Therefore, the antiderivative of y=x^2+3x+2 is (1/3)x^3 + (3/2)x^2 + 2x. Show more…
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