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Find the area bounded by the curve y=2 c...

Find the area bounded by the curve `y=2 cosx` and the X-axis from x = 0 to `x=2pi`.

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The correct Answer is:
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Required area of shaded region `=int_(0)^(2pi)2cosxdx`
`=int_(0)^(pi//2)2cosx dx+abs(int_(pi//2)^(3pi//2)2cos x dx)+int_(3pi//2)^(2pi)2cos x dx`

`=2[sinx]_(0)^(pi//2)+abs(2(sinx)_(pi//2)^(3pi//2))+2[sinx]_(3pi//2)^(2pi)`
` =2+4+2=8" sq units"`
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