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Popular >

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

: - \frac{1}{x}

= 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

Popular Examples

integral from 7 to 12 of 1

\int_{7}^{12} 1 d x

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\int (x^{2} + \frac{1}{x})^{2} d x

sum from n=0 to infinity of (sin(1))^n

n = 0 \sum \infty (sin (1))^{n}

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

\int \frac{1}{x ( 1 + x ^{2} ) ^{2}} d x

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

\int \frac{x ^{3}}{x ^{2} - 25} d x

Frequently Asked Questions (FAQ)

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