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Class 12 Integrals · Conceptual Answer1 Marksdefinite_integration

Class 12 Maths · Integrals · Conceptual Answer #136

Evaluate \(\int_0^{\pi/4}\tan x\,dx\).

✅ Step-by-Step Solution

Final Answer: (ln2)/2
  1. A primitive is −ln|cos x|. Evaluate −ln(1/√2)+ln1=(ln2)/2.
  2. Therefore the integral equals (ln2)/2.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] A primitive is −ln|cos x|. Evaluate −ln(1/√2)+ln1=(ln2)/2.
  • [0.5 marks] Therefore the integral equals (ln2)/2.

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