What is the integral from 1 to 9 of 10sqrt(x) ?

The integral from 1 to 9 of 10sqrt(x) is 520/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 9 of 10sqrt(x)

\int_{1}^{9} 10 x d x

\frac{520}{3}

Decimal

173.33333 \dots

Solution steps

\int_{1}^{9} 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}^{9} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{9}

= 10 [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{9}

Compute the boundaries:

\frac{52}{3}

= 10 \cdot \frac{52}{3}

Simplify

= \frac{520}{3}

\int_{0}^{1} (x - \frac{1}{2}) d x

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

\int_{1}^{3} 2^{4 x} d x

\int_{0}^{4} (e^{t} + e^{- t}) d t

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

What is the integral from 1 to 9 of 10sqrt(x) ?
The integral from 1 to 9 of 10sqrt(x) is 520/3