What is the integral from 2 to 4 of x^3+4x^2 ?

The integral from 2 to 4 of x^3+4x^2 is 404/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 4 of x^3+4x^2

\int_{2}^{4} x^{3} + 4 x^{2} d x

\frac{404}{3}

Decimal Notation

134.66666 \dots

Solution steps

\int_{2}^{4} x^{3} + 4 x^{2} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{2}^{4} x^{3} d x + \int_{2}^{4} 4 x^{2} d x

\int_{2}^{4} x^{3} d x = 60

\int_{2}^{4} 4 x^{2} d x = \frac{224}{3}

= 60 + \frac{224}{3}

Simplify

60 + \frac{224}{3} : \frac{404}{3}

= \frac{404}{3}

\int_{0}^{1} (x^{4} y + y^{2}) d y

\int_{0}^{5} \frac{1}{x ^{0.4}} d x

\int_{- 0.25}^{0.25} (cos (x))^{2} d x

\int_{0}^{\frac{π}{4}} (x + sin (x)) d x

\int_{- 9}^{- 2} \frac{1}{x} d x

What is the integral from 2 to 4 of x^3+4x^2 ?
The integral from 2 to 4 of x^3+4x^2 is 404/3