What is the integral from 0 to 2 of (xsqrt(x^2+5)) ?

The integral from 0 to 2 of (xsqrt(x^2+5)) is 9-(5sqrt(5))/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 (xsqrt(x^2+5))

\int_{0}^{2} (x x^{2} + 5) d x

9 - \frac{5 5}{3}

Decimal

5.27322 \dots

Solution steps

\int_{0}^{2} x x^{2} + 5 d x

Apply u-substitution

: \int_{5}^{3} u^{2} d u

= \int_{5}^{3} u^{2} d u

Apply the Power Rule

: [\frac{u ^{3}}{3}]_{5}^{3}

= [\frac{u ^{3}}{3}]_{5}^{3}

Compute the boundaries:

9 - \frac{5 5}{3}

= 9 - \frac{5 5}{3}

\int (1 + e^{2 x})^{2} d x

\frac{1}{( s ^{2} + 1 ) ( s + 1 )}

\int_{0}^{4} x 23 - x^{2} d x

\frac{d}{d x} (arcsin (2) x^{2})

\int e^{- 2 x} d x

What is the integral from 0 to 2 of (xsqrt(x^2+5)) ?
The integral from 0 to 2 of (xsqrt(x^2+5)) is 9-(5sqrt(5))/3