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Popular >

integral of y^3-y

Solution

\int y^{3} - y d y

Solution

\frac{y ^{4}}{4} - \frac{y ^{2}}{2} + C

Solution steps

\int 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 y^{3} d y - \int y d y

\int y^{3} d y = \frac{y ^{4}}{4}

\int y d y = \frac{y ^{2}}{2}

= \frac{y ^{4}}{4} - \frac{y ^{2}}{2}

Add a constant to the solution

= \frac{y ^{4}}{4} - \frac{y ^{2}}{2} + C

Graph

Popular Examples

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\int 4 sec (2 x) d x

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\int 9^{x + 1} d x

integral of (1-ln(y))

\int (1 - ln (y)) d y

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\int e^{x} \frac{1 + x ^{2}}{( x + 1 ) ^{2}} d x

integral of 2/(\sqrt[3]{x^4)}+3csc^2(x)

\int \frac{2}{3 x ^{4}} + 3 csc^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral of y^3-y ?
The integral of y^3-y is (y^4)/4-(y^2)/2+C