What is the integral of-3sec(x)tan(x)-3csc(x)cot(x) ?

The integral of-3sec(x)tan(x)-3csc(x)cot(x) is -3sec(x)+3csc(x)+C

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integral of-3sec(x)tan(x)-3csc(x)cot(x)

\int - 3 sec (x) tan (x) - 3 csc (x) cot (x) d x

- 3 sec (x) + 3 csc (x) + C

Solution steps

\int - 3 sec (x) tan (x) - 3 csc (x) cot (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 3 sec (x) tan (x) d x - \int 3 csc (x) cot (x) d x

\int 3 sec (x) tan (x) d x = 3 sec (x)

\int 3 csc (x) cot (x) d x = - 3 csc (x)

= - 3 sec (x) - (- 3 csc (x))

Simplify

= - 3 sec (x) + 3 csc (x)

Add a constant to the solution

= - 3 sec (x) + 3 csc (x) + C

\int \frac{1}{6 x} d x

(t - sin (t))^{^{'}}

n = 1 \sum \infty \frac{4}{n ln ( 8 n )}

d er i v a t i v e f (x) = 17 x

d er i v a t i v e \frac{8 t}{8 + t}

What is the integral of-3sec(x)tan(x)-3csc(x)cot(x) ?
The integral of-3sec(x)tan(x)-3csc(x)cot(x) is -3sec(x)+3csc(x)+C