What is the integral from 2x to x^3 of e^{-t^2} ?

The integral from 2x to x^3 of e^{-t^2} is (sqrt(pi))/2 \erf(x^3)-(sqrt(pi))/2 \erf(2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2x to x^3 of e^{-t^2}

\int_{2 x}^{x^{3}} e^{- t^{2}} d t

\frac{π}{2} erf (x^{3}) - \frac{π}{2} erf (2 x)

Solution steps

\int_{2 x}^{x^{3}} e^{- t^{2}} d t

Use the nonelementary integral:

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

= [\frac{π}{2} erf (t)]_{2 x}^{x^{3}}

Compute the boundaries:

\frac{π}{2} erf (x^{3}) - \frac{π}{2} erf (2 x)

= \frac{π}{2} erf (x^{3}) - \frac{π}{2} erf (2 x)

\int_{3}^{10} \frac{1}{x ^{2}} d x

\int_{0}^{1} sin^{2} (x) cos^{5} (x) d x

\int_{0}^{1} y^{\frac{3}{2}} d y

\int_{0}^{55} x^{\frac{3}{4}} d x

\int_{0}^{π} sin (x) cos (3 x) d x

What is the integral from 2x to x^3 of e^{-t^2} ?
The integral from 2x to x^3 of e^{-t^2} is (sqrt(pi))/2 \erf(x^3)-(sqrt(pi))/2 \erf(2x)