MathsJEE Main 23 Jan 2026, Shift 2·Q23·Numerical·Moderate

Definite Integration · Integral with variable limit

The number of elements in the set

S = \left\{x : x \in [0, 100] \text{ and } \int_0^x t^2\sin(x - t)\,dt = x^2\right\}

is .

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