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7.1 inderfinite integral — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths7.1 inderfinite integral1 Mark
MCQ
The value of $\int_{}^{} {x\sin kx\;dx} $is
  • A
    $\frac{{\sin kx}}{k} + c$
  • B
    $\frac{{\cos kx}}{k} + c$
  • C
    $\frac{{\sin x}}{k} + c$
  • ✓
    $ - \frac{{x\,\cos kx}}{k} + \frac{{\sin kx}}{{{k^2}}} + c$
✓

Answer

Correct option: D.
$ - \frac{{x\,\cos kx}}{k} + \frac{{\sin kx}}{{{k^2}}} + c$
d
(d) $I = \int_{}^{} {x\sin kx\,dx} = \frac{{ - x\cos kx}}{k} + \frac{{\sin kx}}{{{k^2}}} + c$

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