Question:medium

The value of \(\int_{0}^{\sqrt{\ln\left(\frac{\pi}{2}\right)}} \cos\left(e^{x^2}\right)\, 2x e^{x^2}\, dx\) is

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Look for pattern \(2x e^{x^2}dx\) → substitute \(t=e^{x^2}\).

Updated On: Apr 16, 2026

1
\(1+\sin 1\)
\(1-\sin 1\)
\(\sin 1 -1\)

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The Correct Option is C

Solution and Explanation

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The value of \(\int_{0}^{\sqrt{\ln\left(\frac{\pi}{2}\right)}} \cos\left(e^{x^2}\right)\, 2x e^{x^2}\, dx\) is

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The Correct Option is C

Solution and Explanation

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