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-sin(t)*sin^3(t)

Integral of -sin(t)*sin^3(t) dt

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 pi                   
  /                   
 |                    
 |             3      
 |  -sin(t)*sin (t) dt
 |                    
/                     
0                     
$$\int\limits_{0}^{\pi} - \sin{\left(t \right)} \sin^{3}{\left(t \right)}\, dt$$
The answer (Indefinite) [src]
  /                                                                                                              
 |                                 4             4           3                  3                    2       2   
 |            3             3*t*cos (t)   3*t*sin (t)   3*cos (t)*sin(t)   5*sin (t)*cos(t)   3*t*cos (t)*sin (t)
 | -sin(t)*sin (t) dt = C - ----------- - ----------- + ---------------- + ---------------- - -------------------
 |                               8             8               8                  8                    4         
/                                                                                                                
$$-{{{{{{\sin \left(4\,t\right)}\over{2}}+2\,t}\over{8}}-{{\sin \left(2\,t\right)}\over{2}}+{{t}\over{2}}}\over{2}}$$
The graph
The answer [src]
-3*pi
-----
  8  
$$- \frac{3 \pi}{8}$$
=
=
-3*pi
-----
  8  
$$- \frac{3 \pi}{8}$$
Numerical answer [src]
-1.17809724509617
-1.17809724509617
The graph
Integral of -sin(t)*sin^3(t) dt

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