मराठी

∫1311+x2dx is equal to ______.

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प्रश्न

\[\int\limits_1^\sqrt{3} \frac{1}{1 + x^2} dx\]  is equal to ______.

पर्याय

  • \[\frac{\pi}{12}\]
  • \[\frac{\pi}{6}\]
  • \[\frac{\pi}{4}\]
  • \[\frac{\pi}{3}\]
  • \[\frac{\pi}{2}\]

  • \[\frac{2\pi}{3}\]

MCQ
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उत्तर

\[\int\limits_1^\sqrt{3} \frac{1}{1 + x^2} dx\]  is equal to `underlinebb(π/12)`.

Explanation:

Let I = `int_1^sqrt(3) dx/(1 + x^2)`

= `[tan^-1 x]_1^sqrt(3)`

= `tan^-1 sqrt(3) - tan^-1 1`

= `π/3 - π/4`

= `(4π - 3π)/12`

= `π/12`

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पाठ 19: Definite Integrals - MCQ [पृष्ठ ११८]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 19 Definite Integrals
MCQ | Q 15 | पृष्ठ ११८

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