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Popular >

integral of 1/(6x^2)

Solution

\int \frac{1}{6 x ^{2}} d x

Solution

- \frac{1}{6 x} + C

Solution steps

\int \frac{1}{6 x ^{2}} d x

Take the constant out:

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

= \frac{1}{6} \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= \frac{1}{6} (- \frac{1}{x})

Simplify

\frac{1}{6} (- \frac{1}{x}) : - \frac{1}{6 x}

= - \frac{1}{6 x}

Add a constant to the solution

= - \frac{1}{6 x} + C

Popular Examples

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y^'-(2y)/x =x^2

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y^{^{'}} = e^{4 x + 3 y}

sum from n=0 to infinity of 3^n

n = 0 \sum \infty 3^{n}

Frequently Asked Questions (FAQ)

What is the integral of 1/(6x^2) ?
The integral of 1/(6x^2) is -1/(6x)+C