What is the integral from-infinity to infinity of te^{-t^2} ?

The integral from-infinity to infinity of te^{-t^2} is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from-infinity to infinity of te^{-t^2}

\int_{- \infty}^{\infty} t e^{- t^{2}} d t

0

Solution steps

\int_{- \infty}^{\infty} t e^{- t^{2}} d t

Compute the indefinite integral:

\int t e^{- t^{2}} d t = - \frac{1}{2} e^{- t^{2}} + C

Compute the boundaries:

\int_{- \infty}^{\infty} t e^{- t^{2}} d t = 0 - 0

= 0 - 0

Simplify

= 0

What is the integral from-infinity to infinity of te^{-t^2} ?
The integral from-infinity to infinity of te^{-t^2} is 0