Integration of Secant Squared

📊 beginner

$$\int \sec^2 x \, dx = \tan x + C$$

The standard integral for the square of the secant function.

Variables & Units

$x$

Angle

Unit: Radians

Key Information

📐 Derived From

Inverse of the derivative of the tangent function.

💡 Example

Evaluating $\int \sec^2(2x) \, dx = 0.5\tan(2x) + C$.

🔧 Applications

Finding areas under curves involving periodic functions.

⚠️ Constraints

$x$ must be in radians; $x \neq \pi/2 + n\pi$.

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