What is the integral of cos(x)3 ?

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

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integral of cos(x)3

\int cos (x) 3 d x

3 sin (x) + C

Solution steps

\int cos (x) \cdot 3 d x

Take the constant out:

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

= 3 \cdot \int cos (x) d x

Use the common integral:

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

= 3 sin (x)

Add a constant to the solution

= 3 sin (x) + C

\int (\frac{1}{x - 3}) d x

\int cos (x) 2 d x

\int \frac{1}{4 + e ^{x}} d x

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

\int cos (π x) + 2 d x