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7.1 inderfinite integral — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths7.1 inderfinite integral1 Mark
MCQ
$\int_{}^{} {(3\,{\rm{cose}}{{\rm{c}}^2}x + 2\sin 3x)\;dx = } $
  • A
    $3\cot x + \frac{2}{3}\cos 3x + c$
  • ✓
    $ - \left( {3\cot x + \frac{2}{3}\cos 3x} \right) + c$
  • C
    $3\cot x - \frac{2}{3}\cos 3x + c$
  • D
    None of these
✓

Answer

Correct option: B.
$ - \left( {3\cot x + \frac{2}{3}\cos 3x} \right) + c$
b
(b)$\int_{}^{} {(3{\rm{cose}}{{\rm{c}}^{\rm{2}}}x + 2\sin 3x)\,dx} $
$ = - 3\cot x - \frac{{2\cos 3x}}{3} + c = - \,[3\cot x + \frac{2}{3}\cos 3x] + c.$

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