What is the integral of (3/(x^2)) ?

The integral of (3/(x^2)) is -3/x+C

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integral of (3/(x^2))

\int (\frac{3}{x ^{2}}) d x

- \frac{3}{x} + C

Solution steps

\int \frac{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 \frac{1}{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

\int \frac{2}{3} x^{2} ln (x) d x

x \to 1 lim (\frac{( x ^{2} - 5 )}{x})

x \to 5 lim (8 x + 5)

\frac{d}{d x} (e^{x^{2} y} - 2 x - 2 y)

\int x^{3} e^{12 x} d x