$\int{\csc{x}\cot{x}} \,=\, -\csc{x}+c$

(or)

$\int{\operatorname{cosec}{x}\cot{x}} \,=\, -\operatorname{cosec}{x}+c$

$x$ is a variable and also angle of a right triangle. The product of cosecant and cotangent trigonometric functions is $\csc{x}.\tan{x}$ or $\operatorname{cosec}{x}.\cot{x}$ and $dx$ is the element of integration.

So, the integral of product of $\csc{x}$ and $\tan{x}$ functions with respect to $x$ is written in integral calculus in the following mathematical form.

$\int{\csc{x}.\cot{x}}dx \,\,\,$ (or) $\int{\operatorname{cosec}{x}.\cot{x}}dx$

The indefinite integral of $\csc{x}\cot{x}$ function with $dx$ equals to sum of $-\csc{x}$ and constant of the integration.

List of most recently solved mathematics problems.

Jul 04, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \,\to\, \tan^{-1}{3}} \normalsize {\dfrac{\tan^2{x}-2\tan{x}-3}{\tan^2{x}-4\tan{x}+3}}$

Jun 23, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{e^{x^2}-\cos{x}}{x^2}$

Jun 22, 2018

Integral Calculus

Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

Jun 21, 2018

Limit

Evaluate $\displaystyle \large \lim_{x \to \infty} \normalsize {\sqrt{x^2+x+1}-\sqrt{x^2+1}}$

Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers.
Know more

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.