What is the integral from 1 to 3 of 4x^3 ?

The integral from 1 to 3 of 4x^3 is 80

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 3 of 4x^3

\int_{1}^{3} 4 x^{3} d x

80

Solution steps

\int_{1}^{3} 4 x^{3} d x

Take the constant out:

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

= 4 \cdot \int_{1}^{3} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{1}^{3}

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

Compute the boundaries:

20

= 4 \cdot 20

Simplify

= 80

\int_{- 9}^{0} 81 - x^{2} d x

\int_{- 2}^{- 1} 3 e^{- 5 t + 8} d t

\int_{3}^{4} x^{2} - 9 d x

\int_{\frac{π}{2}}^{π} cos (2 x) d x

\int_{0}^{π} (1 + cos (x))^{2} d x

What is the integral from 1 to 3 of 4x^3 ?
The integral from 1 to 3 of 4x^3 is 80