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Solving integrals/ (3/2sinx)^2

Integral of (3/2sinx)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 2*pi              
   /               
  |                
  |            2   
  |  /3*sin(x)\    
  |  |--------|  dx
  |  \   2    /    
  |                
 /                 
 0
$$\int\limits_{0}^{2 \pi} \left(\frac{3 \sin{\left(x \right)}}{2}\right)^{2}\, dx$$ 
Integral((3*sin(x)/2)^2, (x, 0, 2*pi))
The answer (Indefinite) [src] 
  /                                                                
 |                                                                 
 |           2                                   2             2   
 | /3*sin(x)\           9*cos(x)*sin(x)   9*x*cos (x)   9*x*sin (x)
 | |--------|  dx = C - --------------- + ----------- + -----------
 | \   2    /                  8               8             8     
 |                                                                 
/
$$\int \left(\frac{3 \sin{\left(x \right)}}{2}\right)^{2}\, dx = C + \frac{9 x \sin^{2}{\left(x \right)}}{8} + \frac{9 x \cos^{2}{\left(x \right)}}{8} - \frac{9 \sin{\left(x \right)} \cos{\left(x \right)}}{8}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
9*pi
----
 4
$$\frac{9 \pi}{4}$$ 
=
= 
9*pi
----
 4
$$\frac{9 \pi}{4}$$ 
9*pi/4
Numerical answer [src] 
7.06858347057703
7.06858347057703

    Use the examples entering the upper and lower limits of integration.

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