What is the integral of 5/y ?

The integral of 5/y is 5ln|y|+C

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integral of 5/y

\int \frac{5}{y} d y

5 ln ∣ y ∣ + C

Solution steps

\int \frac{5}{y} d y

Take the constant out:

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

= 5 \cdot \int \frac{1}{y} d y

Use the common integral:

\int \frac{1}{y} d y = ln (∣ y ∣)

= 5 ln ∣ y ∣

Add a constant to the solution

= 5 ln ∣ y ∣ + C

\frac{d}{d x} (5 cos (3 x))

n = 1 \sum \infty (cos (28))^{n}

\frac{( s + 3 )}{( ( s + 3 ) ^{2} + 25 )}

\int \frac{3 x ^{5} - 7 x ^{3}}{x ^{2}} d x