What is the integral from 0 to 2 of 2sqrt(x) ?

The integral from 0 to 2 of 2sqrt(x) is (8sqrt(2))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 2 of 2sqrt(x)

\int_{0}^{2} 2 x d x

\frac{8 2}{3}

Solution steps

\int_{0}^{2} 2 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{0}^{2} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{2}

= 2 [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{2}

Compute the boundaries:

\frac{4 2}{3}

= 2 \cdot \frac{4 2}{3}

Simplify

= \frac{8 2}{3}

\int_{0}^{y} \frac{sin ( y )}{y} d y

\int_{0}^{l n (5)} 3 e^{2 x} d x

\int_{- \frac{π}{2}}^{\frac{π}{2}} sin^{2} (2 x) d x

\int_{0}^{2} 4 \cdot 2^{- x} - 1 d x

\int_{1}^{2} x arcsec (x) d x

What is the integral from 0 to 2 of 2sqrt(x) ?
The integral from 0 to 2 of 2sqrt(x) is (8sqrt(2))/3