What is area 4sin(x),4cos(2x),-pi/2 , pi/6 ?

The answer to area 4sin(x),4cos(2x),-pi/2 , pi/6 is 3sqrt(3)

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area 4sin(x),4cos(2x),-pi/2 , pi/6

area

4 sin (x), 4 cos (2 x), - \frac{π}{2}, \frac{π}{6}

33

Decimal

5.19615 \dots

Solution steps

Apply the area formula:

\int_{- \frac{π}{2}}^{\frac{π}{6}} ∣ 4 sin (x) - 4 cos (2 x) ∣ d x

Solve

\int_{- \frac{π}{2}}^{\frac{π}{6}} ∣ 4 sin (x) - 4 cos (2 x) ∣ d x : 33

The area is:

= 33

What is area 4sin(x),4cos(2x),-pi/2 , pi/6 ?
The answer to area 4sin(x),4cos(2x),-pi/2 , pi/6 is 3sqrt(3)