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Popular >

integral of-2/(x^3)

Solution

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

Solution

\frac{1}{x ^{2}} + C

Solution steps

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

Take the constant out:

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

= - 2 \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

: - \frac{1}{2 x ^{2}}

= - 2 (- \frac{1}{2 x ^{2}})

Simplify

- 2 (- \frac{1}{2 x ^{2}}) : \frac{1}{x ^{2}}

= \frac{1}{x ^{2}}

Add a constant to the solution

= \frac{1}{x ^{2}} + C

Popular Examples

integral of sqrt(4-x)

\int 4 - x d x

derivative of 8/(x^2+1)

\frac{d}{d x} (\frac{8}{x ^{2} + 1})

derivative of x(x^2+1)^3 derivative of

x (x^{2} + 1)^{3}

tangent of f(x)=x^4-4x^2,\at x=1 tangent of

f (x) = x^{4} - 4 x^{2}, at x = 1

integral of sqrt(25-y^2)

\int 25 - y^{2} d y

Frequently Asked Questions (FAQ)

What is the integral of-2/(x^3) ?
The integral of-2/(x^3) is 1/(x^2)+C