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

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

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 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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