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Popular >

integral of (x^{-3})

Solution

\int (x^{- 3}) d x

Solution

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

Solution steps

\int x^{- 3} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

(dy)/(dt)=t^2e^{-4t}-4y

\frac{d y}{d t} = t^{2} e^{- 4 t} - 4 y

tangent of 7xy^3+5xy=12,\at x=1 tangent of

7 x y^{3} + 5 x y = 12, at x = 1

(2x+3)+(2y-2)y^'=0

(2 x + 3) + (2 y - 2) y^{^{'}} = 0

integral of x^2sqrt(x-3)

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

derivative of x^3-2x^2+4

\frac{d}{d x} (x^{3} - 2 x^{2} + 4)

Frequently Asked Questions (FAQ)

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