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Popular >

integral of 6x^{-2}

Solution

\int 6 x^{- 2} d x

Solution

- \frac{6}{x} + C

Solution steps

\int 6 x^{- 2} d x

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{x}

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

Simplify

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

= - \frac{6}{x}

Add a constant to the solution

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

Popular Examples

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\int \frac{( e ^{x} + 2 ) e ^{x}}{e ^{x} + 1} d x

integral of (x^4+6x^2)/(x(x^2+4)^2)

\int \frac{x ^{4} + 6 x ^{2}}{x ( x ^{2} + 4 ) ^{2}} d x

integral of x^2sqrt(16-x^3)

\int x^{2} 16 - x^{3} d x

integral of e^{2x}sin(x/2)

\int e^{2 x} sin (\frac{x}{2}) d x

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

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

Frequently Asked Questions (FAQ)

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