What is the integral of 2csc^2(x)-3sec^2(x) ?

The integral of 2csc^2(x)-3sec^2(x) is -2cot(x)-3tan(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2csc^2(x)-3sec^2(x)

\int 2 csc^{2} (x) - 3 sec^{2} (x) d x

- 2 cot (x) - 3 tan (x) + C

Solution steps

\int 2 csc^{2} (x) - 3 sec^{2} (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^{2} (x) d x - \int 3 sec^{2} (x) d x

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

\int 3 sec^{2} (x) d x = 3 tan (x)

= - 2 cot (x) - 3 tan (x)

Add a constant to the solution

= - 2 cot (x) - 3 tan (x) + C

\int \frac{( 2 x + 3 )}{( x - 2 ) ( x + 5 )} d x

\int cos (2 x + 9) cos (2 x - 9) d x

\int \frac{4}{x ^{2} - 2 x - 3} d x

\int e^{a t} sin (b t) d t

\int \frac{1}{x 49 + 36 x ^{2}} d x

What is the integral of 2csc^2(x)-3sec^2(x) ?
The integral of 2csc^2(x)-3sec^2(x) is -2cot(x)-3tan(x)+C