हिंदी

Which formula is \[P_5\] : Halving the Upper Limit (Addition)?

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प्रश्न

Which formula is \[P_5\] : Halving the Upper Limit (Addition)?

विकल्प

  • \[\int_{0}^{2a} f(x)\,dx=\int_{0}^{a} f(x)\,dx+\int_{0}^{a} f(2a-x)\,dx\]

  • \[\int_{0}^{2a} f(x)\,dx=0\]

  • \[\int_{0}^{a} f(x)\,dx=\int_{0}^{a} f(a-x)\,dx\]

  • \[\int_{0}^{2a} f(x)\,dx=2\int_{0}^{a} f(x)\,dx\]

MCQ
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उत्तर

\[P_5\] halves the upper limit \[2a\] into integrals with upper limit \[a\]. The second integrand is \[f(2a-x)\].

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