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Popular >

integral from 0 to 1 of y^3-y

Solution

\int_{0}^{1} y^{3} - y d y

Solution

- \frac{1}{4}

+1

Decimal

- 0.25

Solution steps

\int_{0}^{1} y^{3} - y d y

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} y^{3} d y - \int_{0}^{1} y d y

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

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

= \frac{1}{4} - \frac{1}{2}

Simplify

\frac{1}{4} - \frac{1}{2} : - \frac{1}{4}

= - \frac{1}{4}

Graph

Popular Examples

integral from 1 to 2 of xsin(x)

\int_{1}^{2} x sin (x) d x

integral from 0 to 12 of 2x

\int_{0}^{12} 2 x d x

integral from-1 to 2 of e^{x^2}

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

integral from 0 to a of 2x

\int_{0}^{a} 2 x d x

integral from 2 to 7 of e^{2-x}

\int_{2}^{7} e^{2 - x} d x

Frequently Asked Questions (FAQ)

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