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Popular >

integral of 6y^{-2}

Solution

\int 6 y^{- 2} d y

Solution

- \frac{6}{y} + C

Solution steps

\int 6 y^{- 2} d y

Take the constant out:

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

= 6 \cdot \int y^{- 2} d y

Apply the Power Rule

: - \frac{1}{y}

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

Simplify

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

= - \frac{6}{y}

Add a constant to the solution

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

Popular Examples

integral of (x^3+2x^5)/(2x)

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

integral of (6x+29)^{-2}

\int (6 x + 29)^{- 2} d x

integral of (e^{ax})/a

\int \frac{e ^{a x}}{a} d x

integral of sin^2((npi)/a x)

\int sin^{2} (\frac{nπ}{a} x) d x

integral of (x^2)/((9-9x^2)^{3/2)}

\int \frac{x ^{2}}{( 9 - 9 x ^{2} ) ^{\frac{3}{2}}} d x

Frequently Asked Questions (FAQ)

What is the integral of 6y^{-2} ?
The integral of 6y^{-2} is -6/y+C