What is the integral from 1 to 4 of 10sqrt(x) ?

The integral from 1 to 4 of 10sqrt(x) is 140/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 4 of 10sqrt(x)

\int_{1}^{4} 10 x d x

\frac{140}{3}

Decimal

46.66666 \dots

Solution steps

\int_{1}^{4} 10 x d x

Take the constant out:

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

= 10 \cdot \int_{1}^{4} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{4}

= 10 [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{4}

Compute the boundaries:

\frac{14}{3}

= 10 \cdot \frac{14}{3}

Simplify

= \frac{140}{3}

\int_{0}^{2} 2 sin (\frac{π x}{2}) d x

\int_{0}^{10} \frac{1}{2} x d x

\int_{0}^{9} 4 x d x

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

\int_{0}^{4} 6 - x^{2} d x

What is the integral from 1 to 4 of 10sqrt(x) ?
The integral from 1 to 4 of 10sqrt(x) is 140/3