If ; is the point where the curve cuts the -axis first

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

(a, 0)

;

a > 0

is the point where the curve

y = \sin 2x - \sqrt{3} \sin x

cuts the

X

-axis first,

A

is the area bounded by this part of the curve, the origin and the positive

X

-axis, then (1)

4A + 8 \cos a = 7

(2)

4A + 8 \sin a = 7

(3)

4A - 8 \sin a = 7

(4)

4A - 8 \cos a = 7