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Definite Integration — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDefinite Integration2 Marks
MCQ
$\int_0^\pi|\cos x| d x=$
  • A
    $\pi$
  • B
    $0$
  • ✓
    2
  • D
    1
✓

Answer

Correct option: C.
2
(C)
$\int_0^\pi|\cos x| d x=2 \int_0^{\frac{\pi}{2}}|\cos x| d x$
$\ldots\left[\begin{array}{c}\because \int_0^{2 a } f (x) d x=2 \int_0^{ a } f (x) d x \\ \text { if } f (2 a -x)= f (x)\end{array}\right]$
$=2[\sin x]_0^{\pi / 2}=2$

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