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)dθ | is _ _ _ _ _ _ _.

Integral Calculus: JEE Main 2022 Mathematics question

JEE Main 2022 · 24 Jun, Morning shift · Q32

JEE Main 202224 Jun, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

Let

f(\theta ) = \sin \theta + \int\limits_{ - \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 _____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Integral Calculus Question with Answer (24 Jun Morning shift, Q32) | JEE Arc

JEE Main 2022 · 24 Jun, Morning shift · Q32

JEE Main 202224 Jun, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

Let

f(\theta ) = \sin \theta + \int\limits_{ - \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 _____________.

Your answerType your answer. Integers and decimals are accepted.