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

Integral of t*sin(t)^3 dd

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
 pi             
 --             
 2              
  /             
 |              
 |       3      
 |  t*sin (t) dt
 |              
/               
0
$$\int\limits_{0}^{\frac{\pi}{2}} t \sin^{3}{\left(t \right)}\, dt$$ 
Integral(t*sin(t)^3, (t, 0, pi/2))
The answer (Indefinite) [src] 
  /                                                                                
 |                         3             3           2                             
 |      3             7*sin (t)   2*t*cos (t)   2*cos (t)*sin(t)        2          
 | t*sin (t) dt = C + --------- - ----------- + ---------------- - t*sin (t)*cos(t)
 |                        9            3               3                           
/
$$\int t \sin^{3}{\left(t \right)}\, dt = C - t \sin^{2}{\left(t \right)} \cos{\left(t \right)} - \frac{2 t \cos^{3}{\left(t \right)}}{3} + \frac{7 \sin^{3}{\left(t \right)}}{9} + \frac{2 \sin{\left(t \right)} \cos^{2}{\left(t \right)}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
7/9
$$\frac{7}{9}$$ 
=
= 
7/9
$$\frac{7}{9}$$ 
7/9
Numerical answer [src] 
0.777777777777778
0.777777777777778
The graph
Integral of t*sin(t)^3 dd

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

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