What is the integral of (cos(u))/(3a) ?

The integral of (cos(u))/(3a) is 1/(3a)sin(u)+C

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integral of (cos(u))/(3a)

\int \frac{cos ( u )}{3 a} d u

\frac{1}{3 a} sin (u) + C

Solution steps

\int \frac{cos ( u )}{3 a} d u

Take the constant out:

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

= \frac{1}{3 a} \cdot \int cos (u) d u

Use the common integral:

\int cos (u) d u = sin (u)

= \frac{1}{3 a} sin (u)

Add a constant to the solution

= \frac{1}{3 a} sin (u) + C

What is the integral of (cos(u))/(3a) ?
The integral of (cos(u))/(3a) is 1/(3a)sin(u)+C