What is the integral of 2csc(x)cot(x)-sec(x)tan(x) ?

The integral of 2csc(x)cot(x)-sec(x)tan(x) is -2csc(x)-sec(x)+C

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integral of 2csc(x)cot(x)-sec(x)tan(x)

\int 2 csc (x) cot (x) - sec (x) tan (x) d x

- 2 csc (x) - sec (x) + C

Solution steps

\int 2 csc (x) cot (x) - sec (x) tan (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 csc (x) cot (x) d x - \int sec (x) tan (x) d x

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

\int sec (x) tan (x) d x = sec (x)

= - 2 csc (x) - sec (x)

Add a constant to the solution

= - 2 csc (x) - sec (x) + C

\int \frac{e ^{x^{- 3}}}{x ^{4}} d x

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\int 2

\int (arctan (\frac{1}{x})) d x

\int e^{3 x} cos (e^{x}) d x

What is the integral of 2csc(x)cot(x)-sec(x)tan(x) ?
The integral of 2csc(x)cot(x)-sec(x)tan(x) is -2csc(x)-sec(x)+C