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Popular >

integral of-3x^{-2}

Solution

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

Solution

\frac{3}{x} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{x}

= - 3 (- \frac{1}{x})

Simplify

- 3 (- \frac{1}{x}) : \frac{3}{x}

= \frac{3}{x}

Add a constant to the solution

= \frac{3}{x} + C

Graph

Popular Examples

tangent of f(x)=(2x^3+1)^2,(-1,1)tangent of

f (x) = (2 x^{3} + 1)^{2}, (- 1, 1)

limit as x approaches 0 of ((ee^{-ax}-e^{-bx}))/x

x \to 0 lim (\frac{( e e ^{- a x} - e ^{- b x} )}{x})

derivative of f(x)=x^3-3x+1 derivative of

f (x) = x^{3} - 3 x + 1

area x=36-y^2,x=y^2-36 area

x = 36 - y^{2}, x = y^{2} - 36

integral of t-cos(t)

\int t - cos (t) d t

Frequently Asked Questions (FAQ)

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