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Integrals · Class 12 · CBSE · Science Mathematics

Evaluate ∫ sec²(3x) dx.

Practice question from Integrals (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-DCDE10

Evaluate ∫ sec²(3x) dx.

  1. A.tan(3x) + C
  2. B.(1/3)tan(3x) + CCorrect answer
  3. C.3tan(3x) + C
  4. D.sec(3x) + C

Solution

Since ddx[tan⁡(3x)]=3sec⁡2(3x)\frac{d}{dx}[\tan(3x)] = 3\sec^2(3x), the required integral is 13tan⁡(3x)+C\frac{1}{3}\tan(3x)+C.

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