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Popular >

integral from 0 to 1 of x^4-1

Solution

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

Solution

- \frac{4}{5}

+1

Solution steps

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

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

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

= \frac{1}{5} - 1

Simplify

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

= - \frac{4}{5}

Popular Examples

integral from 0.1 to 3 of ln(x)

\int_{0.1}^{3} ln (x) d x

integral from-3 to 3 of x^5

\int_{- 3}^{3} x^{5} d x

integral from 0 to 5 of 3/(sqrt(5-x))

\int_{0}^{5} \frac{3}{5 - x} d x

integral from 1 to 3 of sqrt(1+t^2)

\int_{1}^{3} 1 + t^{2} d t

integral from 0 to 1 of sqrt(2/(2-r^2))r

\int_{0}^{1} \frac{2}{2 - r ^{2}} r d r

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^4-1 ?
The integral from 0 to 1 of x^4-1 is -4/5