Area bounded by curve y = k x between x = and x = 2 , is - Vidyadip

MCQ

Area bounded by curve $y = k\sin x$ between $x = \pi $ and $x = 2\pi ,$ is

✓
$2k$ sq. unit
B
$0$
C
$\frac{{{k^2}}}{2}\,\, sq. \,unit$
D
$k\,\, sq. \,unit$

✓

Answer

Correct option: A.

$2k$ sq. unit

a
(a) Required area $ = k\int_\pi ^{2\pi } {\sin x\,\,dx = k} [ - \cos x]_\pi ^{2\pi } = - 2k$

Hence, area $= 2k\,\, sq. \,unit$

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