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Popular >

integral of X^{-1}

Solution

\int X^{- 1} d X

Solution

ln ∣ X ∣ + C

Solution steps

\int X^{- 1} d X

Use the common integral:

\int X^{- 1} d X = ln (∣ X ∣)

= ln ∣ X ∣

Add a constant to the solution

= ln ∣ X ∣ + C

Popular Examples

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3 x y

integral of 1/(1+sqrt(x+1))

\int \frac{1}{1 + x + 1} d x

derivative of ln(x^2y^2)

\frac{d}{d x} (ln (x^{2} y^{2}))

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limit as x approaches infinity of (3x^2+10x-7)/(2x^2-5x)

x \to \infty lim (\frac{3 x ^{2} + 10 x - 7}{2 x ^{2} - 5 x})

Frequently Asked Questions (FAQ)

What is the integral of X^{-1} ?
The integral of X^{-1} is ln|X|+C