What is the integral of csc(x)*cot(x) ?

The integral of csc(x)*cot(x) is -csc(x)+C

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integral of csc(x)*cot(x)

\int csc (x) \cdot cot (x) d x

- csc (x) + C

Solution steps

\int csc (x) cot (x) d x

Apply u-substitution

: \int - 1 d u

= \int - 1 d u

Integral of a constant:

\int a d x = a x

= (- 1) u

Substitute back

u = csc (x)

= (- 1) csc (x)

Simplify

= - csc (x)

Add a constant to the solution

= - csc (x) + C

(2^{x})^{^{'}}

\frac{d}{d x} ((2 x^{2} + 3 x)^{2})

y^{^{''}} + 2 y = - 12 x

h \to 0 lim (\frac{( 2 + h ) ^{3} - 8}{h})

x \to \infty lim (x)

What is the integral of csc(x)*cot(x) ?
The integral of csc(x)*cot(x) is -csc(x)+C