CalcRef

Integrals · Basic Antiderivatives

Integral of sec(x)tan(x)

∫sec⁡xtan⁡x dx=sec⁡x+C\int \sec x \tan x \, dx = \sec x + C

The antiderivative of sec(x)tan(x) is sec(x). This is the reverse of the derivative of sec(x).

Worked examples

Evaluate ∫₀^(π/3) sec x tan x dx.
  1. [sec x]₀^(π/3) = sec(π/3) - sec(0) = 2 - 1

Answer: 1

Practice this and 135 more formulas in the CalcRef workspace — quizzes, reference tables, a 16-category unit converter, and an expression evaluator.