Question:
The value of \(\displaystyle \int_{-\infty}^{\infty} e^{-x^2}\,dx\) is:
The value of \(\displaystyle \int_{-\infty}^{\infty} e^{-x^2}\,dx\) is:
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Gaussian integrals are standard results.
Updated On: Jan 5, 2026
- \(\sqrt{\pi}\)
- \(\pi\)
- \(1/\sqrt{\pi}\)
- \(2\sqrt{\pi}\)
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The Correct Option is A
Solution and Explanation
This is the standard Gaussian integral:
\[
\int_{-\infty}^{\infty} e^{-x^2}\,dx=\sqrt{\pi}
\]
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