What is the integral from 1 to 10 of sqrt(5x-1) ?

The integral from 1 to 10 of sqrt(5x-1) is 134/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 10 of sqrt(5x-1)

\int_{1}^{10} 5 x - 1 d x

\frac{134}{3}

Decimal Notation

44.66666 \dots

Solution steps

\int_{1}^{10} 5 x - 1 d x

Apply u-substitution

: \int_{4}^{49} \frac{u}{5} d u

= \int_{4}^{49} \frac{u}{5} d u

Take the constant out:

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

= \frac{1}{5} \cdot \int_{4}^{49} u d u

Apply the Power Rule

: [\frac{2}{3} u^{\frac{3}{2}}]_{4}^{49}

= \frac{1}{5} [\frac{2}{3} u^{\frac{3}{2}}]_{4}^{49}

Compute the boundaries:

\frac{670}{3}

= \frac{1}{5} \cdot \frac{670}{3}

Simplify

= \frac{134}{3}

\frac{d}{d x} (x^{- 3} y^{- 4})

n \to \infty lim (n^{0})

f (x) = 3^{(x^{5})}

y^{^{'}} + b y = 0

\int \frac{x ^{2}}{( 2 - x ^{2} )} d x

What is the integral from 1 to 10 of sqrt(5x-1) ?
The integral from 1 to 10 of sqrt(5x-1) is 134/3