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Popular Calculus >

integral of 1/(6y^2)

Solution

\int \frac{1}{6 y ^{2}} d y

Solution

- \frac{1}{6 y} + C

Solution steps

\int \frac{1}{6 y ^{2}} d y

Take the constant out:

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

= \frac{1}{6} \cdot \int \frac{1}{y ^{2}} d y

Apply the Power Rule

= \frac{1}{6} (- \frac{1}{y})

Simplify

\frac{1}{6} (- \frac{1}{y}) : - \frac{1}{6 y}

= - \frac{1}{6 y}

Add a constant to the solution

= - \frac{1}{6 y} + C

Graph

Popular Examples

integral from a to b of x(b-x)^2

\int_{a}^{b} x (b - x)^{2} d x

(dy)/(dx)=2y-y^2

\frac{d y}{d x} = 2 y - y^{2}

derivative of 2x^7-3x^6+3x^3-4x^2-7

\frac{d}{d x} (2 x^{7} - 3 x^{6} + 3 x^{3} - 4 x^{2} - 7)

integral of (7-7x)/(1-sqrt(x))

\int \frac{7 - 7 x}{1 - x} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of 1/(6y^2) ?
The integral of 1/(6y^2) is -1/(6y)+C