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

The integral from-1 to 0 of 3x^3 is -3/4

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^3

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

- \frac{3}{4}

Decimal

- 0.75

Solution steps

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

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{- 1}^{0}

= 3 [\frac{x ^{4}}{4}]_{- 1}^{0}

Compute the boundaries:

- \frac{1}{4}

= 3 (- \frac{1}{4})

Simplify

= - \frac{3}{4}

\int_{1}^{4} 2 x + \frac{1}{x} d x

\int_{- 1}^{1} 3 x^{2} + 5 d x

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

\int_{- 1}^{1} \frac{5}{1 + 25 t ^{2}} d t

\int_{1}^{6} ln (2 x) d x

What is the integral from-1 to 0 of 3x^3 ?
The integral from-1 to 0 of 3x^3 is -3/4