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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).

  • 2 worked examples
  • 19 in Integrals

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

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Find ∫ sec(4x) tan(4x) dx.

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Common questions

What is the Integral of sec(x)tan(x)?

The antiderivative of sec(x)tan(x) is sec(x). This is the reverse of the derivative of sec(x). It is one of the integrals formulas in the CalcRef reference.

How do you use the Integral of sec(x)tan(x)?

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

Practice

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