Integrals · Basic Antiderivatives

Integral of sec²(x)

sec2xdx=tanx+C\int \sec^2 x \, dx = \tan x + C

The antiderivative of secant squared is tangent.

  • 0 variables
  • 2 worked examples
  • 19 in Integrals

Worked examples

Evaluate ∫₀^(π/4) sec²x dx.
  1. [tan x]₀^(π/4) = tan(π/4) - tan(0) = 1 - 0

Answer: 1

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Find ∫ sec²(2x + 1) dx.

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Practice

Quiz yourself on Integrals

Integral of sec²(x) is one of 19 Integrals formulas in CalcRef, out of 136 in the library. Today's free round is 10 mixed multiple-choice questions drawn from the same dataset as this page, refreshed every day and replayable as often as you like - no account needed.