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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

y^{^{'}} = 18.2 - 0.7 y

y^'=1-(2y)/(100+2x),y(0)=20

y^{^{'}} = 1 - \frac{2 y}{100 + 2 x}, y (0) = 20

t^{2} y^{^{'}} + y = 0

limit as x approaches 4 of x

x \to 4 lim (x)

inverse oflaplace (s+3)/((s+3)^2+4)inverse laplace

\frac{s + 3}{( s + 3 ) ^{2} + 4}

Frequently Asked Questions (FAQ)

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