What is the integral from 0 to 2 of 10x^2 ?

The integral from 0 to 2 of 10x^2 is 80/3

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 10x^2

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

\frac{80}{3}

Decimal

26.66666 \dots

Solution steps

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

Take the constant out:

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

= 10 \cdot \int_{0}^{2} x^{2} d x

Apply the Power Rule

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

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

Compute the boundaries:

\frac{8}{3}

= 10 \cdot \frac{8}{3}

Simplify

= \frac{80}{3}

\int_{0}^{π} x^{4} + 4 x^{2} d x

\int_{9}^{15} (x - 8)^{- \frac{2}{3}} d x

\int_{0}^{π} sin^{5} (θ) d θ

\int_{0}^{7} \frac{x}{x ^{2} + 1} d x

\int_{0}^{t} cos (x) sin (t - x) d x

What is the integral from 0 to 2 of 10x^2 ?
The integral from 0 to 2 of 10x^2 is 80/3