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Definite Integrals

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Find the following definite integrals

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Definite Integrals

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$\\int_0^1\\cos(\\frac{\\pi t}{2})\\mathrm{dt}$.

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To write $\\pi$ in your answer simply write pi.

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$\\int_0^1\\frac{e^z+1}{e^z+z}\\mathrm{dz}$.

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