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 pi(x-x^4)

Solution

\int_{0}^{1} π (x - x^{4}) d x

Solution

π \frac{3}{10}

+1

Decimal Notation

0.94247 \dots

Solution steps

\int_{0}^{1} π (x - x^{4}) d x

Take the constant out:

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

= π \cdot \int_{0}^{1} x - 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

= π (\int_{0}^{1} x d x - \int_{0}^{1} x^{4} d x)

\int_{0}^{1} x d x = \frac{1}{2}

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

= π (\frac{1}{2} - \frac{1}{5})

Join

\frac{1}{2} - \frac{1}{5} : \frac{3}{10}

= π \frac{3}{10}

Popular Examples

integral of-3x^{-1}

\int - 3 x^{- 1} d x

derivative of f(x)=(x^3-2)derivative of

f (x) = (x^{3} - 2)

expand (2x-7)^5 expand

(2 x - 7)^{5}

integral of sin(5x)cos(6x)

\int sin (5 x) cos (6 x) d x

integral from 3 to 4 of y^3+1/(4y^3)

\int_{3}^{4} y^{3} + \frac{1}{4 y ^{3}} d y

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of pi(x-x^4) ?
The integral from 0 to 1 of pi(x-x^4) is pi 3/10