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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

integral of (3e^x)/(e^x-2)

\int \frac{3 e ^{x}}{e ^{x} - 2} d x

integral of ((r-1))/(sqrt(r^2-4r+3))

\int \frac{( r - 1 )}{r ^{2} - 4 r + 3} d r

integral of 1/(usqrt(u^2+25))

\int \frac{1}{u u ^{2} + 25} d u

integral of (r^2)/(sqrt(x^2+r^2))

\int \frac{r ^{2}}{x ^{2} + r ^{2}} d r

integral of y^4ln(y)

\int y^{4} ln (y) d y

Frequently Asked Questions (FAQ)

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