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Definite Integration — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDefinite Integration2 Marks
MCQ
$\int_0^{2 x}(\sin x+|\sin x|) d x=$
  • A
    $0$
  • ✓
    4
  • C
    8
  • D
    1
✓

Answer

Correct option: B.
4
(B)
$\int_0^{2 \pi}(\sin x+|\sin x|) d x=\int_0^\pi 2 \sin x d x+\int_\pi^{2 \pi} 0 \cdot d x$
$\begin{array}{l}=2[-\cos x]_0^\pi+0 \\ =-2(\cos \pi-\cos 0) \\ =-2(-1-1)=4\end{array}$

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