What is the integral of 5cos(θ) ?

The integral of 5cos(θ) is 5sin(θ)+C

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integral of 5cos(θ)

\int 5 cos (θ) d θ

5 sin (θ) + C

Solution steps

\int 5 cos (θ) d θ

Take the constant out:

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

= 5 \cdot \int cos (θ) d θ

Use the common integral:

\int cos (θ) d θ = sin (θ)

= 5 sin (θ)

Add a constant to the solution

= 5 sin (θ) + C