Integral de 〖sin〗^3xcosxdx dx

  /                                                                                                               
 |                                  4           3                    4           3                    2       2   
 |    3                      3*x*cos (x)   3*cos (x)*sin(x)   5*x*sin (x)   5*sin (x)*cos(x)   3*x*cos (x)*sin (x)
 | sin (x)*x*cos(x) dx = C - ----------- + ---------------- + ----------- + ---------------- - -------------------
 |                                32              32               32              32                   16        
/                                                                                                                 

$$\int x \sin^{3}{\left(x \right)} \cos{\left(x \right)}\, dx = C + \frac{5 x \sin^{4}{\left(x \right)}}{32} - \frac{3 x \sin^{2}{\left(x \right)} \cos^{2}{\left(x \right)}}{16} - \frac{3 x \cos^{4}{\left(x \right)}}{32} + \frac{5 \sin^{3}{\left(x \right)} \cos{\left(x \right)}}{32} + \frac{3 \sin{\left(x \right)} \cos^{3}{\left(x \right)}}{32}$$

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