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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

integral of 4te^{4t}

\int 4 t e^{4 t} d t

integral of 6x^2+4

\int 6 x^{2} + 4 d x

derivative of e^{t/9}sin(t/9)derivative of

e^{\frac{t}{9}} sin (\frac{t}{9})

integral of 8(tan(8x))

\int 8 (tan (8 x)) d x

integral from-1 to 1 of (1-x^2)

\int_{- 1}^{1} (1 - x^{2}) d x

Frequently Asked Questions (FAQ)

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