What is the integral from-1 to 0 of 3x^2 ?

The integral from-1 to 0 of 3x^2 is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 0 of 3x^2

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

1

Solution steps

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

Take the constant out:

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

= 3 \cdot \int_{- 1}^{0} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{- 1}^{0}

= 3 [\frac{x ^{3}}{3}]_{- 1}^{0}

Compute the boundaries:

\frac{1}{3}

= 3 \cdot \frac{1}{3}

Simplify

= 1

\int_{5}^{7} \frac{1}{x} d x

\int_{\frac{π}{6}}^{\frac{π}{4}} sec^{2} (x) d x

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

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

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

What is the integral from-1 to 0 of 3x^2 ?
The integral from-1 to 0 of 3x^2 is 1