What is the integral of 3csc^2(t) ?

The integral of 3csc^2(t) is -3cot(t)+C

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integral of 3csc^2(t)

\int 3 csc^{2} (t) d t

- 3 cot (t) + C

Solution steps

\int 3 csc^{2} (t) d t

Take the constant out:

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

= 3 \cdot \int csc^{2} (t) d t

Use the common integral:

\int csc^{2} (t) d t = - cot (t)

= 3 (- cot (t))

Simplify

= - 3 cot (t)

Add a constant to the solution

= - 3 cot (t) + C

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