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Popular >

integral of-1/(x^3)

Solution

\int - \frac{1}{x ^{3}} d x

Solution

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

Solution steps

\int - \frac{1}{x ^{3}} d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

Add a constant to the solution

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

Graph

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y^{^{''}} + 2 y^{^{'}} + y = t^{2} + 1 - e^{t}

derivative of 3tan(sqrt(x)+cotan(3x))

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\frac{d}{d x} (cos (2 x) y)

area y=x^2-6,y=3 area

y = x^{2} - 6, y = 3

Frequently Asked Questions (FAQ)

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