Consider the curve `C: y = sin 2x - sqrt(3)|sinx|, C` cuts the x-axis at `(a,0) , x in (-pi, pi)`. `A_(1)` : The area bounded by the curve C and the positive x-axis between the origin and the line `x = a`. `A_(2)` : The area bounded by the curve C and the negative x-axis between the line x = a and the origin. Prove that `A_(1) + A_(2) +8A_(1) A_(2) = 4`.

Consider the curve `C: y = sin 2x - sqrt(3)|sinx|, C` cuts the x-axis

1.	Consider the curve `C: y = sin 2x - sqrt(3)\|sinx\|, C` cuts the x-axis at `(a,0) , x in (-pi, pi)`. `A_(1)` : The area bounded by the curve C and the positive x-axis between the origin and the line `x = a`. `A_(2)` : The area bounded by the curve C and the negative x-axis between the line x = a and the origin. Prove that `A_(1) + A_(2) +8A_(1) A_(2) = 4`.
Answer» Correct Answer - 3

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