What is the integral from 0 to 16 of 10sqrt(x) ?

The integral from 0 to 16 of 10sqrt(x) is 1280/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 16 of 10sqrt(x)

\int_{0}^{16} 10 x d x

\frac{1280}{3}

Decimal

426.66666 \dots

Solution steps

\int_{0}^{16} 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_{0}^{16} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{16}

= 10 [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{16}

Compute the boundaries:

\frac{128}{3}

= 10 \cdot \frac{128}{3}

Simplify

= \frac{1280}{3}

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

\int_{x}^{x^{2}} ln (t) d t

\int_{14}^{14} (x) d x

\int_{1}^{t} x e^{- x} d x

\int_{0}^{1} x^{3} + x^{2} d x

What is the integral from 0 to 16 of 10sqrt(x) ?
The integral from 0 to 16 of 10sqrt(x) is 1280/3