What is the integral from 5 to-3 of 10x^2 ?

The integral from 5 to-3 of 10x^2 is -1520/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 5 to-3 of 10x^2

\int_{5}^{- 3} 10 x^{2} d x

- \frac{1520}{3}

Decimal Notation

- 506.66666 \dots

Solution steps

\int_{5}^{- 3} 10 x^{2} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- 3}^{5} 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_{- 3}^{5} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{- 3}^{5}

= - 10 [\frac{x ^{3}}{3}]_{- 3}^{5}

Compute the boundaries:

\frac{152}{3}

= - 10 \cdot \frac{152}{3}

Simplify

= - \frac{1520}{3}

n = 0 \sum \infty z^{n}

6 sin (θ)

32 y^{^{''}} - 4 y^{^{'}} - 21 y = 0

\frac{d}{d x} (cos (x^{2}) 2 x)

f (x) = 4 x - x^{2}, (1, 3)

What is the integral from 5 to-3 of 10x^2 ?
The integral from 5 to-3 of 10x^2 is -1520/3