Mathematics · 2022
JEE Main · 24 June 2022, Shift 1 · Q26
Let f(θ)= sin θ+∫_-π / 2^π / 2( sin θ+ t cos θ) f( t ) dt. Then the value of |∫_0^π / 2 f(θ) d θ| is \ \ \ \.
Let $\displaystyle f(\theta)=\sin \theta+\int_{-\pi / 2}^{\pi / 2}(\sin \theta+\mathrm{t} \cos \theta) f(\mathrm{t}) \mathrm{dt}$. Then the value of $\displaystyle \left|\int_0^{\pi / 2} f(\theta) \mathrm{d} \theta\right|$ is \_\_\_\_.
Official answer
1
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.