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MCQMediumJEE Main 2025 · 2 April, Shift 2Definite Integrals

Mathematics Question from JEE Main 2025 · 2 April, Shift 2

4∫01(13+x2+1+x2)dx−3log⁡e(3)4\int_{0}^{1} \left( \frac{1}{\sqrt{3+x^2} + \sqrt{1+x^2}} \right) dx - 3\log_e\left(\sqrt{3}\right) is equal to:

  • A

    2+2+log⁡e(1+2)2 + \sqrt{2} + \log_e\left(1+\sqrt{2}\right)

  • B

    2−2−log⁡e(1+2)2 - \sqrt{2} - \log_e\left(1+\sqrt{2}\right)

  • C

    2+2−log⁡e(1+2)2 + \sqrt{2} - \log_e\left(1+\sqrt{2}\right)

  • D

    2−2+log⁡e(1+2)2 - \sqrt{2} + \log_e\left(1+\sqrt{2}\right)

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