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Popular Calculus >

integral of 2/(x^2)

Solution

\int \frac{2}{x ^{2}} d x

Solution

- \frac{2}{x} + C

Solution steps

\int \frac{2}{x ^{2}} d x

Take the constant out:

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

= 2 \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

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

Simplify

2 (- \frac{1}{x}) : - \frac{2}{x}

= - \frac{2}{x}

Add a constant to the solution

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

Graph

Popular Examples

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integral of 1/(x(1+x^2)^2)

integral of (x^3)/(sqrt(x^2-25))

limit as x approaches 0 of (x^2-6)/x

normal of f(x)= x/(1+x^2),(2, 2/5)

Frequently Asked Questions (FAQ)

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