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Popular >

integral of 1/(5y^2)

Solution

\int \frac{1}{5 y ^{2}} d y

Solution

- \frac{1}{5 y} + C

Solution steps

\int \frac{1}{5 y ^{2}} d y

Take the constant out:

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

= \frac{1}{5} \cdot \int \frac{1}{y ^{2}} d y

Apply the Power Rule

: - \frac{1}{y}

= \frac{1}{5} (- \frac{1}{y})

Simplify

\frac{1}{5} (- \frac{1}{y}) : - \frac{1}{5 y}

= - \frac{1}{5 y}

Add a constant to the solution

= - \frac{1}{5 y} + C

Popular Examples

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\int \frac{1}{e ^{\frac{7}{3} x}} d x

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\int sin (- 8 x) d x

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\int 3 y e^{3} z d z

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\int e^{- 3 t} t d t

integral of cos(θ/9)cos(θ/4)

\int cos (\frac{θ}{9}) cos (\frac{θ}{4}) d θ

Frequently Asked Questions (FAQ)

What is the integral of 1/(5y^2) ?
The integral of 1/(5y^2) is -1/(5y)+C