What is the integral of-k/x ?

The integral of-k/x is -kln|x|+C

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integral of-k/x

\int - \frac{k}{x} d x

- k ln ∣ x ∣ + C

Solution steps

\int - \frac{k}{x} d x

Take the constant out:

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

= - k \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= - k ln ∣ x ∣

Add a constant to the solution

= - k ln ∣ x ∣ + C

\int_{1}^{2} (5 x^{4} + 5) d x

\frac{d ^{2}}{d x ^{2}} ((5 x^{2} - 4 x) cos (x))

f (x) = \frac{x - ln ( 1 + x )}{x ^{2}}

2 e^{- \frac{x}{2}} + e^{- x}

x \to + \frac{π}{2} + lim (e^{s e c (x)})