What is the integral of 4/x ?

The integral of 4/x is 4ln|x|+C

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integral of 4/x

\int \frac{4}{x} d x

4 ln ∣ x ∣ + C

Solution steps

\int \frac{4}{x} d x

Take the constant out:

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

= 4 \cdot \int \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 4 ln ∣ x ∣

Add a constant to the solution

= 4 ln ∣ x ∣ + C

\int t (t^{2} + 1)^{4} d t

n = 1 \sum \infty cos^{n} (0.6)

\frac{d}{d x} (\frac{1}{x ^{3} + 4 x ^{2}} e^{x c o s (x)})

x e^{- x}

x \to - 5 lim (x - 5)