Math Doubts

Integral of csc²x formula

Formula

$\int{\csc^2{x}} \,=\, -\cot{x}+c$

Introduction

$x$ is a variable and angle of a right triangle. The element of integration is represented by $dx$ and $\csc^2{x}$ or $\operatorname{cosec}^2{x}$ is a trigonometric function in square form. The integral of $\operatorname{cosec}^2{x}$ or $\csc^2{x}$ function with respect to $x$ is written as follows in integral calculus.

$\int{\csc^2{x}}.dx \,\,\,$ (or) $\,\,\, \operatorname{cosec}^2{x}.dx$

The indefinite integral of cosecant squared of angle $x$ with $dx$ is equal to sum of $-\cot{x}$ and constant of integration.



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