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Popular >

integral of 8/(x^2)

Solution

\int \frac{8}{x ^{2}} d x

Solution

- \frac{8}{x} + C

Solution steps

\int \frac{8}{x ^{2}} d x

Take the constant out:

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

= 8 \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= 8 (- \frac{1}{x})

Simplify

8 (- \frac{1}{x}) : - \frac{8}{x}

= - \frac{8}{x}

Add a constant to the solution

= - \frac{8}{x} + C

Popular Examples

taylor e^{2x-3},1 taylor

e^{2 x - 3}, 1

limit as x approaches 2 of 5x^3-6x-1

x \to 2 lim (5 x^{3} - 6 x - 1)

integral of (x^{-2/7})

\int (x^{- \frac{2}{7}}) d x

implicit (dy)/(dx),y=x^5+8 implicit derivative

\frac{d y}{d x}, y = x^{5} + 8

limit as x approaches-1 of 2x+3

x \to - 1 lim (2 x + 3)

Frequently Asked Questions (FAQ)

What is the integral of 8/(x^2) ?
The integral of 8/(x^2) is -8/x+C