What is the integral from-pi to 0 of 6x^2 ?

The integral from-pi to 0 of 6x^2 is 2pi^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-pi to 0 of 6x^2

\int_{- π}^{0} 6 x^{2} d x

2 π^{3}

Decimal

62.01255 \dots

Solution steps

\int_{- π}^{0} 6 x^{2} d x

Take the constant out:

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

= 6 \cdot \int_{- π}^{0} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{- π}^{0}

= 6 [\frac{x ^{3}}{3}]_{- π}^{0}

Compute the boundaries:

\frac{π ^{3}}{3}

= 6 \cdot \frac{π ^{3}}{3}

Simplify

= 2 π^{3}

\int_{0}^{1} 6 x^{5} (4 - x^{6}) d x

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

\int_{0}^{π} x - sin (x) d x

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

\int_{0.5}^{1} cos (x) d x

What is the integral from-pi to 0 of 6x^2 ?
The integral from-pi to 0 of 6x^2 is 2pi^3