What is the integral of 70csc^2(θ) ?

The integral of 70csc^2(θ) is -70cot(θ)+C

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integral of 70csc^2(θ)

\int 70 csc^{2} (θ) d θ

- 70 cot (θ) + C

Solution steps

\int 70 csc^{2} (θ) d θ

Take the constant out:

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

= 70 \cdot \int csc^{2} (θ) d θ

Use the common integral:

\int csc^{2} (θ) d θ = - cot (θ)

= 70 (- cot (θ))

Simplify

= - 70 cot (θ)

Add a constant to the solution

= - 70 cot (θ) + C