JEE Main 202623 Jan, Evening shiftMathematicsMediumIntegral Calculus369× since 2002The number of elements in the set S={x:x∈[0,100] and ∫0xt2sin(x−t) dt=x2}S=\left\{x: x\in[0,100] \text{ and } \int_0^x t^2\sin(x-t)\,dt=x^2\right\}S={x:x∈[0,100] and ∫0xt2sin(x−t)dt=x2} is ____Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution