MathsJEE Main 28 Jan 2026, Shift 1·Q24·Numerical·Moderate

Definite Integration · Definite integral properties

The value of

\displaystyle\sum_{r=1}^{20}\left(\left\lvert\sqrt{\pi\left(\int_0^r x\,\lvert\sin\pi x\rvert\,dx\right)}\right\rvert\right)

is .

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