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Popular >

integral of 2y^{-2}

Solution

\int 2 y^{- 2} d y

Solution

- \frac{2}{y} + 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{1}{y}

= 2 (- \frac{1}{y})

Simplify

2 (- \frac{1}{y}) : - \frac{2}{y}

= - \frac{2}{y}

Add a constant to the solution

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

Popular Examples

integral of 10+(500)/(x+1)

\int 10 + \frac{500}{x + 1} d x

integral of (2x^4-3x^3+5)/(7x^2)

\int \frac{2 x ^{4} - 3 x ^{3} + 5}{7 x ^{2}} d x

integral of tan^{21}(x)sec^{22}(x)

\int tan^{21} (x) sec^{22} (x) d x

integral of 3/(1+2x)

\int \frac{3}{1 + 2 x} d x

integral of (2xy+2y)

\int (2 x y + 2 y) d x

Frequently Asked Questions (FAQ)

What is the integral of 2y^{-2} ?
The integral of 2y^{-2} is -2/y+C