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This is the opposite of the derivative - and it's an integral part of Calculus. It's uses range from basic integrals to differential equations, with applications in Physics, Chemistry, and Economics.

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Evaluate \[\int_{1}^{8} \frac{4}{x^3} dx .\]

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If \(\displaystyle{f(x) = \int \frac{8x-9}{(x-3)(x-8)} dx},\) what is \(f(5)-f(1)?\)

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