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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫010  ∣ x  (x−1)  (x−2)∣  dx  is   equal   to\int \nolimits_0^{10} \,\,\left| {\,x\,\,\left( {x - 1} \right)\,\,\left( {x - 2} \right)} \right|\,\,dx\,\,\mathrm{is}\,\mathrm{\;equal\;}\,\mathrm{to} is equal to
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Correct option: B
1600.5
The correct answer is A (1600.5) because the integral is evaluated by splitting the integral into intervals where the function inside the absolute value is either positive or negative.

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