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Popular Calculus >

integral of e^{-z^2}

Solution

\int e^{- z^{2}} d z

Solution

\frac{π}{2} erf (z) + C

Solution steps

\int e^{- z^{2}} d z

Use the nonelementary integral:

\int e^{- z^{2}} d z = \frac{π}{2} erf (z)

= \frac{π}{2} erf (z)

Add a constant to the solution

= \frac{π}{2} erf (z) + C

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(\partial)/(\partial x)(3x^2+2y^2-4xy+5)

Frequently Asked Questions (FAQ)

What is the integral of e^{-z^2} ?
The integral of e^{-z^2} is (sqrt(pi))/2 \erf(z)+C