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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

integral of cos(4θ)

\int cos (4 θ) d θ

integral from 2 to 5 of xsqrt(x-1)

\int_{2}^{5} x x - 1 d x

derivative of y=(sqrt(t))/(4t-5)derivative of

y = \frac{t}{4 t - 5}

y^{''}+y^'+y=sin^2(x)

y^{^{''}} + y^{^{'}} + y = sin^{2} (x)

limit as x approaches 1-of 3/(x^2-1)

x \to 1 - lim (\frac{3}{x ^{2} - 1})

Frequently Asked Questions (FAQ)

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