Integral de (sin2xcos5x)^2 dx

   2       2         2       2         2       2         2       2            2                          2                       2                          2                 
cos (2)*cos (5)   cos (2)*sin (5)   cos (5)*sin (2)   sin (2)*sin (5)   25*sin (5)*cos(2)*sin(2)   17*cos (5)*cos(2)*sin(2)   cos (2)*cos(5)*sin(5)   23*sin (2)*cos(5)*sin(5)
--------------- + --------------- + --------------- + --------------- - ------------------------ - ------------------------ - --------------------- + ------------------------
       4                 4                 4                 4                    168                        168                       105                      210           

$$\frac{23 \sin^{2}{\left(2 \right)} \sin{\left(5 \right)} \cos{\left(5 \right)}}{210} - \frac{\sin{\left(5 \right)} \cos^{2}{\left(2 \right)} \cos{\left(5 \right)}}{105} - \frac{17 \sin{\left(2 \right)} \cos{\left(2 \right)} \cos^{2}{\left(5 \right)}}{168} + \frac{\cos^{2}{\left(2 \right)} \cos^{2}{\left(5 \right)}}{4} + \frac{\sin^{2}{\left(2 \right)} \cos^{2}{\left(5 \right)}}{4} + \frac{\sin^{2}{\left(5 \right)} \cos^{2}{\left(2 \right)}}{4} - \frac{25 \sin{\left(2 \right)} \sin^{2}{\left(5 \right)} \cos{\left(2 \right)}}{168} + \frac{\sin^{2}{\left(2 \right)} \sin^{2}{\left(5 \right)}}{4}$$

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   2       2         2       2         2       2         2       2            2                          2                       2                          2                 
cos (2)*cos (5)   cos (2)*sin (5)   cos (5)*sin (2)   sin (2)*sin (5)   25*sin (5)*cos(2)*sin(2)   17*cos (5)*cos(2)*sin(2)   cos (2)*cos(5)*sin(5)   23*sin (2)*cos(5)*sin(5)
--------------- + --------------- + --------------- + --------------- - ------------------------ - ------------------------ - --------------------- + ------------------------
       4                 4                 4                 4                    168                        168                       105                      210           

$$\frac{23 \sin^{2}{\left(2 \right)} \sin{\left(5 \right)} \cos{\left(5 \right)}}{210} - \frac{\sin{\left(5 \right)} \cos^{2}{\left(2 \right)} \cos{\left(5 \right)}}{105} - \frac{17 \sin{\left(2 \right)} \cos{\left(2 \right)} \cos^{2}{\left(5 \right)}}{168} + \frac{\cos^{2}{\left(2 \right)} \cos^{2}{\left(5 \right)}}{4} + \frac{\sin^{2}{\left(2 \right)} \cos^{2}{\left(5 \right)}}{4} + \frac{\sin^{2}{\left(5 \right)} \cos^{2}{\left(2 \right)}}{4} - \frac{25 \sin{\left(2 \right)} \sin^{2}{\left(5 \right)} \cos{\left(2 \right)}}{168} + \frac{\sin^{2}{\left(2 \right)} \sin^{2}{\left(5 \right)}}{4}$$

cos(2)^2*cos(5)^2/4 + cos(2)^2*sin(5)^2/4 + cos(5)^2*sin(2)^2/4 + sin(2)^2*sin(5)^2/4 - 25*sin(5)^2*cos(2)*sin(2)/168 - 17*cos(5)^2*cos(2)*sin(2)/168 - cos(2)^2*cos(5)*sin(5)/105 + 23*sin(2)^2*cos(5)*sin(5)/210