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-x^3dx/sin^2(2x^4+1)

Integral of -x^3dx/sin^2(2x^4+1) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  0                        
  /                        
 |                         
 |    3         1          
 |  -x *1*-------------- dx
 |           2/   4    \   
 |        sin \2*x  + 1/   
 |                         
/                          
0                          
$$\int\limits_{0}^{0} - x^{3} \cdot 1 \cdot \frac{1}{\sin^{2}{\left(2 x^{4} + 1 \right)}}\, dx$$
Integral(-x^3*1/sin(2*x^4 + 1)^2, (x, 0, 0))
The answer (Indefinite) [src]
  /                                 /1    4\                 
 |                               tan|- + x |                 
 |   3         1                    \2     /         1       
 | -x *1*-------------- dx = C - ----------- + --------------
 |          2/   4    \               16             /1    4\
 |       sin \2*x  + 1/                        16*tan|- + x |
 |                                                   \2     /
/                                                            
$${{\sin \left(4\,x^4+2\right)}\over{4\,\sin ^2\left(4\,x^4+2\right)+ 4\,\cos ^2\left(4\,x^4+2\right)-8\,\cos \left(4\,x^4+2\right)+4}}$$
The graph
The answer [src]
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Numerical answer [src]
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The graph
Integral of -x^3dx/sin^2(2x^4+1) dx

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