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Integrate sec^2(x) dx

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Answer
tan⁡(x)+C\boxed{\tan(x) + C}

Differentiating tan⁡(x)+C\tan(x) + C gives sec⁡2(x)\sec^2(x), which confirms the result is correct.

Problem: Evaluate the indefinite integral ∫sec⁡2(x) dx\int \sec^2(x) \, dx.

Steps

  1. Apply standard integration formulas
    ∫sec⁡2(x) dx=tan⁡(x)+C\int \sec^2(x) \, dx = \tan(x) + C

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