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Popular >

integral of 10x^{-2}

Solution

\int 10 x^{- 2} d x

Solution

- \frac{10}{x} + C

Solution steps

\int 10 x^{- 2} d x

Take the constant out:

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

= 10 \cdot \int x^{- 2} d x

Apply the Power Rule

: - \frac{1}{x}

= 10 (- \frac{1}{x})

Simplify

10 (- \frac{1}{x}) : - \frac{10}{x}

= - \frac{10}{x}

Add a constant to the solution

= - \frac{10}{x} + C

Popular Examples

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\int y^{2} d y

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\int \frac{- 18 x ^{2} + 12}{x ^{3} - 2 x - 8} d x

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\int cot^{2} (6 x^{2}) x d x

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

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Frequently Asked Questions (FAQ)

What is the integral of 10x^{-2} ?
The integral of 10x^{-2} is -(10)/x+C