how do you evaluate integrals?

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how do you evaluate integrals?

Mathematics
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\[\int\limits_{2}^{3} 2x dx\]
Well just the antiderivative is x^2 so we plug in the endpoints = 2(3)^2-2(2)^2=18-8=10
Rather (3)^2-(2)^2=5 since x^2 is the antiderivative.

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