JEE Mains · Maths · STD 12 - 7.2 definite integral
Let \(f (\theta)=\sin \theta+\int_{-\pi / 2}^{\pi / 2}(\sin \theta+ t \cos \theta) f ( t ) dt\). Then the value of \(\left|\int_{0}^{\pi / 2} f (\theta) d \theta\right|\) is
- A \(4\)
- B \(3\)
- C \(2\)
- D \(1\)
Answer & Solution
Correct Answer
(D) \(1\)
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Detailed explanation
Let \(f (\theta)=\sin \theta+\int_{-\pi / 2}^{\pi / 2}(\sin \theta+ t \cos \theta) f ( t ) dt\). Then the value of \(\left|\int_{0}^{\pi / 2} f (\theta) d \theta\right|\) is Official Ans. by NTA (1) Allen Ans. (1)…
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