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Popular >

integral of 9y^{-2}

Solution

\int 9 y^{- 2} d y

Solution

- \frac{9}{y} + C

Solution steps

\int 9 y^{- 2} d y

Take the constant out:

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

= 9 \cdot \int y^{- 2} d y

Apply the Power Rule

: - \frac{1}{y}

= 9 (- \frac{1}{y})

Simplify

9 (- \frac{1}{y}) : - \frac{9}{y}

= - \frac{9}{y}

Add a constant to the solution

= - \frac{9}{y} + C

Graph

Popular Examples

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f (x) = x^{2} - 25

limit as x approaches 0 of (sin(6x))/(sin(9x))

x \to 0 lim (\frac{sin ( 6 x )}{sin ( 9 x )})

ty^'+(t+1)y=t,y(ln(7))=1

t y^{^{'}} + (t + 1) y = t, y (ln (7)) = 1

derivative of 5x^3+2ln(x)

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

limit as x approaches 1 of (x-5)/(x-1)

x \to 1 lim (\frac{x - 5}{x - 1})

Frequently Asked Questions (FAQ)

What is the integral of 9y^{-2} ?
The integral of 9y^{-2} is -9/y+C