What is the integral from 3 to 8 of 3x^3 ?

The integral from 3 to 8 of 3x^3 is 12045/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 3 to 8 of 3x^3

\int_{3}^{8} 3 x^{3} d x

\frac{12045}{4}

Decimal Notation

3011.25

Solution steps

\int_{3}^{8} 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_{3}^{8} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{3}^{8}

= 3 [\frac{x ^{4}}{4}]_{3}^{8}

Compute the boundaries:

\frac{4015}{4}

= 3 \cdot \frac{4015}{4}

Simplify

= \frac{12045}{4}

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

\int_{0}^{5 π} x cos (2 x) d x

\int_{0}^{4} r^{2} d r

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

\int_{1}^{5} g (x) d x

What is the integral from 3 to 8 of 3x^3 ?
The integral from 3 to 8 of 3x^3 is 12045/4