• Algebra
• Trigonometry
• Geometry
• Calculus

Integral of cscx.cotx formula

Formula

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

      (or)

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

Introduction

$x$ 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.