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Popular >

integral of-2y^2

Solution

\int - 2 y^{2} d y

Solution

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

Solution steps

\int - 2 y^{2} d y

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 2 \cdot \int y^{2} d y

Apply the Power Rule

: \frac{y ^{3}}{3}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Popular Examples

limit as x approaches 0 of x/3

x \to 0 lim (\frac{x}{3})

integral of ((x^2+1)^2)/(sqrt(x))

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

tangent of 4sin(x)tangent of

4 sin (x)

derivative of 5x^{2/3}

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

3 y y^{^{'}} + 2 x = 0

Frequently Asked Questions (FAQ)

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