What is the integral of-csc(2w)cot(2w) ?

The integral of-csc(2w)cot(2w) is 1/2 csc(2w)+C

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integral of-csc(2w)cot(2w)

\int - csc (2 w) cot (2 w) d w

\frac{1}{2} csc (2 w) + C

Solution steps

\int - csc (2 w) cot (2 w) d w

Take the constant out:

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

= - \int csc (2 w) cot (2 w) d w

Apply u-substitution

: \int - \frac{1}{2} d u

= - \int - \frac{1}{2} d u

Integral of a constant:

\int a d x = a x

= - (- \frac{1}{2}) u

Substitute back

u = csc (2 w)

= - (- \frac{1}{2}) csc (2 w)

Simplify

= \frac{1}{2} csc (2 w)

Add a constant to the solution

= \frac{1}{2} csc (2 w) + C

\frac{d}{d θ} (cos (θ) - 2 sin (θ))

x \to 0 - lim (a x^{2} + \frac{b}{2})

\frac{2}{x ^{2}}, at (1.2)

\int \frac{1}{x ln ^{4} ( x )} d x

y^{^{'}} = y^{\frac{1}{3}}

What is the integral of-csc(2w)cot(2w) ?
The integral of-csc(2w)cot(2w) is 1/2 csc(2w)+C