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Definite Integral Using Integration By Parts

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What is the value of ∫₀^1 e^x cos(x) dx?

A

e⋅sin(1)+e⋅cos(1)−12\frac{e·sin(1) + e·cos(1) - 1}{2}

B

e⋅cos(1)−1e·cos(1) - 1

C

e⋅sin(1)e·sin(1)

D

e⋅sin(1)−e⋅cos(1)+12\frac{e·sin(1) - e·cos(1) + 1}{2}

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