Math Doubts

Integral of sec²x formula


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


$x$ is a variable and also angle of right triangle. The element of integration is $dx$ and $\sec^2{x}$ is a trigonometric function in square form. The integral of $\sec^2{x}$ function with respect to $x$ is written in the following way in calculus.


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

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