Class 12 Integrals · Conceptual Answer1 Marksdefinite_integral_parameters
Class 12 Maths · Integrals · Conceptual Answer #41
If \(\int_0^a dx/(1+4x^2)=\pi/8\), find a.
✅ Step-by-Step Solution
Final Answer: a=1/2
- The left side is (1/2)arctan(2a). Thus arctan(2a)=π/4, so 2a=1.
- a=1/2
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The left side is (1/2)arctan(2a). Thus arctan(2a)=π/4, so 2a=1.
- [0.5 marks] a=1/2
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