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-sin(t)*sin^3(t)
Solving integrals/ -sin(t)*sin^3(t)

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

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
 pi                   
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 |                    
 |             3      
 |  -sin(t)*sin (t) dt
 |                    
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0
∫0π−sin⁡(t)sin⁡3(t) dt\int\limits_{0}^{\pi} - \sin{\left(t \right)} \sin^{3}{\left(t \right)}\, dt
Simplify
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⁡(4 t)2+2 t8−sin⁡(2 t)2+t22-{{{{{{\sin \left(4\,t\right)}\over{2}}+2\,t}\over{8}}-{{\sin \left(2\,t\right)}\over{2}}+{{t}\over{2}}}\over{2}}
Simplify
The graph
0.000.250.500.751.001.251.501.752.002.252.502.753.001-2
Plot the graph f(x)
The answer [src] 
-3*pi
-----
  8
−3π8- \frac{3 \pi}{8} 
=
= 
-3*pi
-----
  8
−3π8- \frac{3 \pi}{8}
Simplify
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.

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