What is area y=sin(4x),(0, pi/4) ?

The answer to area y=sin(4x),(0, pi/4) is 1/2

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area y=sin(4x),(0, pi/4)

area

y = sin (4 x), (0, \frac{π}{4})

\frac{1}{2}

Solution steps

Apply the area formula:

\int_{0}^{\frac{π}{4}} ∣ sin (4 x) ∣ d x

Solve

\int_{0}^{\frac{π}{4}} ∣ sin (4 x) ∣ d x : \frac{1}{2}

The area is:

= \frac{1}{2}

y^{^{'}} = 2 x + y, y (0) = 5

\frac{d}{d x} (- e^{x})

\int cot^{4} (x) csc^{4} (x) d x

\int_{0}^{\frac{π}{2}} 5 cos^{2} (x) d x

y^{^{''}} - 4 y^{^{'}} + 16 y = 0

What is area y=sin(4x),(0, pi/4) ?
The answer to area y=sin(4x),(0, pi/4) is 1/2