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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
If A=∫0505π∣cos⁡x∣dxA=\int\limits_{0}^{505 \pi}|\cos x| d x and B=∫505π1007π∣sin⁡x∣dxB=\int\limits_{{505 \pi}}^{1007 \pi}|\sin x| d x, then A+BA+B is equal to
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Correct option: B
2014
Option B (2014) is correct because evaluating the integrals A and B separately and then summing them gives 2014.

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