Let f(θ)=sinθ+∫₋π/2^π/2( sinθ+t cosθ )f(t)...| Definite Integration | JEE Main

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JEE MAIN 2022

24-06-2022 S1

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Let $f(\theta)=\sin \theta+\int_{-\pi / 2}^{\pi / 2}(\sin \theta+t \cos \theta) f(t) d t$. Then the value of $\left|\int_0^{\pi / 2} f(\theta) d \theta\right|$ is $\_\_\_\_$ .

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