MCQMediumJEE Main 2023 · 31 January, Shift 1Integration Techniques (Substitution, Parts, Partial Fractions)

Mathematics Question from JEE Main 2023 · 31 January, Shift 1

The value of ∫π/3π/2(2+3sin⁡x)sin⁡x(1+cos⁡x) dx\int_{\pi/3}^{\pi/2} \frac{(2 + 3 \sin x)}{\sin x (1 + \cos x)} \, dx is equal to:

  • A

    723−log⁡3\frac{7}{2} \sqrt{3} - \log \sqrt{3}

  • B

    2+33+log⁡32 + 3\sqrt{3} + \log \sqrt{3}

  • C

    103−3+log⁡e3\frac{10}{3} - \sqrt{3} + \log_e \sqrt{3}

  • D

    3−log⁡3\sqrt{3} - \log \sqrt{3}

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