What is area y=sin(x),y=3x,x= pi/2 ,x=pi ?

The answer to area y=sin(x),y=3x,x= pi/2 ,x=pi is 10.10330…

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area y=sin(x),y=3x,x= pi/2 ,x=pi

area

y = sin (x), y = 3 x, x = \frac{π}{2}, x = π

10.10330 \dots

Solution steps

Apply the area formula:

\int_{\frac{π}{2}}^{π} ∣ sin (x) - 3 x ∣ d x

Solve

\int_{\frac{π}{2}}^{π} ∣ sin (x) - 3 x ∣ d x : 10.10330 \dots

The area is:

= 10.10330 \dots

f (x) = \frac{- 4}{x ^{3}}

\int \frac{x ^{3} + x ^{2} + x + 2}{x ^{4} + 3 x ^{2} + 2} d x

\int \frac{1 - 2 x - x ^{2}}{( x + 1 ) ^{2}} d x

\frac{5}{( 2 x ) ^{3}}

What is area y=sin(x),y=3x,x= pi/2 ,x=pi ?
The answer to area y=sin(x),y=3x,x= pi/2 ,x=pi is 10.10330…