What is the integral of cos(x)coxy-cot(x) ?

The integral of cos(x)coxy-cot(x) is -ln|sin(x)|+coy(xsin(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 cos(x)coxy-cot(x)

\int cos (x) co x y - cot (x)

- ln ∣ sin (x) ∣ + coy (x sin (x) + cos (x)) + C

Solution steps

\int cos (x) co x y - 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 cot (x) d x + \int cos (x) coy x d x

\int cot (x) d x = ln ∣ sin (x) ∣

\int cos (x) coy x d x = coy (x sin (x) + cos (x))

= - ln ∣ sin (x) ∣ + coy (x sin (x) + cos (x))

Add a constant to the solution

= - ln ∣ sin (x) ∣ + coy (x sin (x) + cos (x)) + C

\int \frac{x ^{4} - 5 x}{x ^{3}} d x

\int (\frac{2}{5} x^{\frac{5}{2}} + \frac{10}{3} x^{\frac{3}{2}}) d x

\int 4 x x^{2} - 1 d x

\int \frac{11}{( x - 3 ) ( x + 8 )} d x

\int 7 y d y

What is the integral of cos(x)coxy-cot(x) ?
The integral of cos(x)coxy-cot(x) is -ln|sin(x)|+coy(xsin(x)+cos(x))+C