Primitive of Tangent Function

Theorem

Secant Form

$\ds \int \tan x \rd x = \ln \size {\sec x} + C$

where $\sec x$ is defined.

Cosine Form

$\ds \int \tan x \rd x = -\ln \size {\cos x} + C$

where $\cos x \ne 0$.

Also see

• Primitive of Sine Function
• Primitive of Cosine Function

• Primitive of Cotangent Function

• Primitive of Secant Function
• Primitive of Cosecant Function