• Algebra
• Trigonometry
• Geometry
• Calculus

Integral of secx.tanx formula

Formula

$\int{\sec{x}\tan{x}} \,=\, \sec{x}+c$

Introduction

$x$ is a variable and also denotes angle of a right triangle. The product of secant and tangent trigonometric functions is written as $\sec{x}.\tan{x}$ and $dx$ is the element of integration.

Therefore, the integral of product of $\sec{x}$ and $\tan{x}$ functions with respect to $x$ is written in integral calculus as follows.

$\int{\sec{x}.\tan{x}}dx$

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