en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of e^{z^2}

Solution

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

Solution

\frac{π}{2} erfi (z) + C

Solution steps

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

Use the nonelementary integral:

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

= \frac{π}{2} erfi (z)

Add a constant to the solution

= \frac{π}{2} erfi (z) + C

Popular Examples

integral of \sqrt[4]{t}

integral of 3cos(pix)

integral of 5^x(2-cot(5^x)(1-csc(5^x)))

integral of x/(sqrt(2x^2+2))

integral of (x^2-x^3)

Frequently Asked Questions (FAQ)

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