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The Essentials17 / 34

MediumCalculus & Linear Algebra

Gaussian Integral

Goldman SachsTwo Sigma

Evaluate $\int_{-\infty}^{\infty} e^{-x^2}\,dx$ . (Enter a decimal.)

Approach

Square it and use polar coordinates.

The answer is √π.

Related problems

Definite Integral of x²Easy Limit of sin(x)/xEasy Eigenvalues of a 2×2Medium Geometric SeriesEasy Limit of (1+1/n)^nEasy Integral of x·e^(−x)Medium

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