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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫exdx\int e^{\sqrt{x}} d x is equal to
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Correct option: C
2(x−1)ex+A2(\sqrt{x}-1) e^{\sqrt{x}}+A
Option C (2(x−1)ex+A2(\sqrt{x}-1) e^{\sqrt{x}}+A) is correct because substituting x=t\sqrt{x} = t simplifies the integral, and integration by parts yields the correct result.

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