What is the integral of 10csc^2(x)-sin(x) ?

The integral of 10csc^2(x)-sin(x) is -10cot(x)+cos(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 10csc^2(x)-sin(x)

\int 10 csc^{2} (x) - sin (x) d x

- 10 cot (x) + cos (x) + C

Solution steps

\int 10 csc^{2} (x) - sin (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 10 csc^{2} (x) d x - \int sin (x) d x

\int 10 csc^{2} (x) d x = - 10 cot (x)

\int sin (x) d x = - cos (x)

= - 10 cot (x) - (- cos (x))

Simplify

= - 10 cot (x) + cos (x)

Add a constant to the solution

= - 10 cot (x) + cos (x) + C

5 sin (t) cos (t)

cos (x), sin (2 x), x = 0, x = \frac{π}{2}

ln (x) x

f (x) = x^{4} + 4 e^{x}, (0, 4)

\frac{d y}{d t} = - 2 (y - 4)

What is the integral of 10csc^2(x)-sin(x) ?
The integral of 10csc^2(x)-sin(x) is -10cot(x)+cos(x)+C