What is the integral of 9sin(θ) ?

The integral of 9sin(θ) is -9cos(θ)+C

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integral of 9sin(θ)

\int 9 sin (θ) d θ

- 9 cos (θ) + C

Solution steps

\int 9 sin (θ) d θ

Take the constant out:

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

= 9 \cdot \int sin (θ) d θ

Use the common integral:

\int sin (θ) d θ = - cos (θ)

= 9 (- cos (θ))

Simplify

= - 9 cos (θ)

Add a constant to the solution

= - 9 cos (θ) + C

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