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Definite Integration — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDefinite Integration2 Marks
MCQ
$\int_{-a}^a \sin x f(\cos x) d x=$
  • A
    a
  • ✓
    $0$
  • C
    1
  • D
    -1
✓

Answer

Correct option: B.
$0$
(B)
Let $f (x)=\sin x f (\cos x)$
$\begin{array}{ll}\therefore & f (-x)=-\sin x f (\cos x)=- f (x) \\ \therefore & f (x) \text { is an odd function. } \\ \therefore & \int_{- a }^{ a } f (x) d x=0\end{array}$

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