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Popular Calculus >

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

Graph

Popular Examples

integral of ((x^2-3x-5)/(x+2))

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

integral of 6sqrt(8x+4)

\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

integral of sqrt(x-a)

\int x - a d x

integral of (sqrt(u))/u

\int \frac{u}{u} d u

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