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 1 of x^3-x^4

Solution

\int_{0}^{1} x^{3} - x^{4} d x

Solution

\frac{1}{20}

+1

Solution steps

\int_{0}^{1} x^{3} - x^{4} 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}^{1} x^{3} d x - \int_{0}^{1} x^{4} d x

\int_{0}^{1} x^{3} d x = \frac{1}{4}

\int_{0}^{1} x^{4} d x = \frac{1}{5}

= \frac{1}{4} - \frac{1}{5}

Simplify

\frac{1}{4} - \frac{1}{5} : \frac{1}{20}

= \frac{1}{20}

Popular Examples

integral from 10 to x of (10)/(x^2)

\int_{10}^{x} \frac{10}{x ^{2}} d x

integral from-1 to 1 of (x^5)/(x^2+25)

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

integral from pi/2 to (3pi)/4 of 1

\int_{\frac{π}{2}}^{\frac{3 π}{4}} 1

integral from 0 to y of ce^{-2y}

\int_{0}^{y} c e^{- 2 y} d x

integral from 0 to 1 of (x-x^2)(e^x)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^3-x^4 ?
The integral from 0 to 1 of x^3-x^4 is 1/20