What is the integral of 3sin(θ) ?

The integral of 3sin(θ) is -3cos(θ)+C

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integral of 3sin(θ)

\int 3 sin (θ) d θ

- 3 cos (θ) + C

Solution steps

\int 3 sin (θ) d θ

Take the constant out:

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

= 3 \cdot \int sin (θ) d θ

Use the common integral:

\int sin (θ) d θ = - cos (θ)

= 3 (- cos (θ))

Simplify

= - 3 cos (θ)

Add a constant to the solution

= - 3 cos (θ) + C

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