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7.1 inderfinite integral — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths7.1 inderfinite integral1 Mark
MCQ
If $\int_{}^{} {x\sin xdx = - x\cos x + A} $, then $A = $
  • ✓
    $\sin x + $constant
  • B
    $\cos x + $constant
  • C
    Constant
  • D
    None of these
✓

Answer

Correct option: A.
$\sin x + $constant
a
(a) Since,$\int_{}^{} {x\sin x\,dx} = - x\cos x + A$
$ \Rightarrow - x\cos x + \sin x + {\rm{constant}} = - x\cos x + A$
Equating it, we get $A = \sin x + {\rm{constant}}{\rm{.}}$

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