What is the integral of (cos(x))/3 ?

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

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integral of (cos(x))/3

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

\frac{1}{3} sin (x) + C

Solution steps

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

Take the constant out:

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

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

Use the common integral:

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

= \frac{1}{3} sin (x)

Add a constant to the solution

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

\frac{d}{d x} ((x^{2} - x + 1)^{3})

(cos (5 x)) y^{^{'}} + 5 (tan (5 x)) y = - 9 sec (5 x)

y = (1 + x^{2}) (3 - 2 x)

\frac{d}{d x} (5 x^{3} - 6 x)

n = 1 \sum \infty \frac{9}{n ^{2}}