What is the integral of c/x ?

The integral of c/x is cln|x|+C

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integral of c/x

\int \frac{c}{x} d x

c ln ∣ x ∣ + C

Solution steps

\int \frac{c}{x} d x

Take the constant out:

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

= c \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= c ln ∣ x ∣

Add a constant to the solution

= c ln ∣ x ∣ + C

\int 3 x^{2} - 4 x + 5 d x

x \to 0.1 lim (\frac{e ^{5 x} - 1}{x})

4 y^{^{''}} + 36 y^{^{'}} + 81 y = 0

- 3 x^{2} + 6 x - 2

y = 7 x^{2} - x^{3}