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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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∫eaxcos⁡bxdx\int e^{a x} \cos b x d x is equal to
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Correct option: A
Real part of ∫e(a+bi)xdx\int e^{(a+b i) x} d x
Option A (Real part of ∫e(a+bi)xdx\int e^{(a+b i) x} d x) is correct because Euler's formula allows us to express cos⁡bx\cos bx as the real part of eibxe^{ibx}.

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