Question:medium
The value of
\[
\sum_{r=1}^{20}\sqrt{\left|\pi\left(\int_0^r x|\sin \pi x|\,dx\right)\right|}
\]
is:
The value of
\[
\sum_{r=1}^{20}\sqrt{\left|\pi\left(\int_0^r x|\sin \pi x|\,dx\right)\right|}
\]
is:
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Absolute trigonometric functions often simplify drastically when periodicity is exploited.
Updated On: Apr 1, 2026
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Correct Answer: 210
Solution and Explanation
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