$\displaystyle \int{\sec^2{x} \,}dx \,=\, \tan{x}+c$

Assume, $x$ is a variable, which is also used to represent an angle of a right triangle. Now, the square of the secant of angle $x$ is written as $\sec^2{x}$ and the indefinite integral of $\sec^2{x}$ function with respect to $x$ is written in the following mathematical form in integral calculus.

$\displaystyle \int{\sec^2{x} \,} dx$

The integration of secant squared of angle $x$ function with respect to $x$ is equal to sum of the tan of angle $x$ and the constant of integration.

$\displaystyle \int{\sec^2{x} \,}dx \,=\, \tan{x}+c$

The integral of secant squared function formula can be written in terms of any variable.

$(1) \,\,\,$ $\displaystyle \int{\sec^2{(l)} \,} dl \,=\, \tan{(l)}+c$

$(2) \,\,\,$ $\displaystyle \int{\sec^2{(p)} \,} dp \,=\, \tan{(p)}+c$

$(3) \,\,\,$ $\displaystyle \int{\sec^2{(y)} \,} dy \,=\, \tan{(y)}+c$

Learn how to derive the integration of secant squared function rule in integral calculus.

Latest Math Topics

Latest Math Problems

Email subscription

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.