CalcRef

Integrals · Basic Antiderivatives

Integral of sec²(x)

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

The antiderivative of secant squared is tangent.

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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