MCQ
Area bounded by $y = x\sin x$ and $x - $ axis between $x = 0$ and $x = 2\pi ,$ is
  • A
    $0$
  • B
    $2\pi \,\, sq. \,unit$
  • C
    $\pi \,\, sq. \,unit$
  • $4\pi \,\, sq. \,unit$

Answer

Correct option: D.
$4\pi \,\, sq. \,unit$
d
(d) Required area is ${A_1} + {A_2}$

$= \int_0^\pi {y\,\,dx + \left| {\int_\pi ^{2\pi } {y\,dx} } \right| = 4\pi \,sq.} \,unit$

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