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Integral Calculus> Calculate the area bounded by the y = sin...

question mark

Calculate the area bounded by the
y = sinx and x-axis from 0 to 2pi.

Lovey , 11 Years ago

Grade 12

1 Answers

Jitender Singh

Last Activity: 11 Years ago

Ans:
Hello Student,
Please find answer to your question below

f(x) = sinx

Area ‘A’

$A = \int_{0}^{\pi }sinxdx + |\int_{\pi }^{2\pi }sinxdx|$
$A = (-cosx)_{0}^{\pi }+ |\int_{\pi }^{2\pi }sinxdx|$
$A = 2+ |\int_{\pi }^{2\pi }sinxdx|$
$A = 2+ |(-cosx)_{\pi }^{2\pi }|$
$A = 2 + |-2|$
$A = 4$

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