Answer :

Given


• Curve is y = cos x


• X- axis


x = 0 and


• x = 2π


The given curve is y = cos x.


Now consider the y values for some random x values between 0 and 2π for the function y = cos x.



From the table we can clearly draw the graph for y = cos x



From the given curve, we can say that,


For , y = cos x


For , y = -cos x


For , y = cos x


The required area under the curve is given by:


Area required = Area under of OA + Area of ABC + Area under AC





[using the formula, ]




[as , sin 2π = 0, , sin 0 = 0]


Hence the required area of the curve y = cos x from x = 0 to x=2π is 4 sq. units.


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