What is the integral of x^{-1}0.01 ?

The integral of x^{-1}0.01 is 0.01ln|x|+C

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integral of x^{-1}0.01

integral

x^{- 1} 0.01

0.01 ln ∣ x ∣ + C

Solution steps

\int x^{- 1} \cdot 0.01 d x

Take the constant out:

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

= 0.01 \cdot \int x^{- 1} d x

Use the common integral:

\int x^{- 1} d x = ln (∣ x ∣)

= 0.01 ln ∣ x ∣

Add a constant to the solution

= 0.01 ln ∣ x ∣ + C