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Popular >

integral of y^2-4y

Solution

\int y^{2} - 4 y d y

Solution

\frac{y ^{3}}{3} - 2 y^{2} + C

Solution steps

\int y^{2} - 4 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^{2} d y - \int 4 y d y

\int y^{2} d y = \frac{y ^{3}}{3}

\int 4 y d y = 2 y^{2}

= \frac{y ^{3}}{3} - 2 y^{2}

Add a constant to the solution

= \frac{y ^{3}}{3} - 2 y^{2} + C

Popular Examples

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\int - e^{- 1} d x

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\int - cos (x) + sin (x) + 7 d x

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

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\int 6 8 x + 4 d x

integral of (2x-1)(x^2-x+3)^3

\int (2 x - 1) (x^{2} - x + 3)^{3} d x

Frequently Asked Questions (FAQ)

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