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Popular >

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

Solution

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

Solution

\frac{3}{10}

+1

Decimal Notation

0.3

Solution steps

\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

= \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}

= \frac{1}{2} - \frac{1}{5}

Simplify

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

= \frac{3}{10}

Popular Examples

area y=3x,y=7x^2 area

y = 3 x, y = 7 x^{2}

derivative of f(x(4x^2-2))

\frac{d}{d x} (f (x) (4 x^{2} - 2))

derivative of (2x/(5-tan(x)))

\frac{d}{d x} (\frac{2 x}{5 - tan ( x )})

derivative of (2x+5/(3x-1))

\frac{d}{d x} (\frac{2 x + 5}{3 x - 1})

integral of (6x^5-4x^3+1/(sqrt(x)))

\int (6 x^{5} - 4 x^{3} + \frac{1}{x}) d x

Frequently Asked Questions (FAQ)

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