en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 3 of x^3+5

Solution

\int_{0}^{3} x^{3} + 5 d x

Solution

\frac{141}{4}

+1

Decimal Notation

35.25

Solution steps

\int_{0}^{3} x^{3} + 5 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_{0}^{3} x^{3} d x + \int_{0}^{3} 5 d x

\int_{0}^{3} x^{3} d x = \frac{81}{4}

\int_{0}^{3} 5 d x = 15

= \frac{81}{4} + 15

Simplify

\frac{81}{4} + 15 : \frac{141}{4}

= \frac{141}{4}

Popular Examples

integral from 0 to 0.5 of 4/3 (1-x^3)

\int_{0}^{0.5} \frac{4}{3} (1 - x^{3}) d x

integral from 0 to x of 2(x+y)

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

integral from x to 1 of 32/9 (xy)^{1/3}

\int_{x}^{1} \frac{32}{9} (x y)^{\frac{1}{3}} d y

integral from 0 to 2 of sqrt(1+4x+x^2)

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

integral from 1 to 5 of e^{sqrt(2x-1)}

\int_{1}^{5} e^{2 x - 1} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^3+5 ?
The integral from 0 to 3 of x^3+5 is 141/4