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Solving integrals/ (x×dx)/sin²(x²+1)

Integral of (x×dx)/sin²(x²+1) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |       x         
 |  ------------ dx
 |     2/ 2    \   
 |  sin \x  + 1/   
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{x}{\sin^{2}{\left(x^{2} + 1 \right)}}\, dx$$ 
Integral(x/sin(x^2 + 1)^2, (x, 0, 1))
The answer (Indefinite) [src] 
                                            /     2\
  /                                         |1   x |
 |                                       tan|- + --|
 |      x                      1            \2   2 /
 | ------------ dx = C - ------------- + -----------
 |    2/ 2    \               /     2\        4     
 | sin \x  + 1/               |1   x |              
 |                       4*tan|- + --|              
/                             \2   2 /
$$\int \frac{x}{\sin^{2}{\left(x^{2} + 1 \right)}}\, dx = C + \frac{\tan{\left(\frac{x^{2}}{2} + \frac{1}{2} \right)}}{4} - \frac{1}{4 \tan{\left(\frac{x^{2}}{2} + \frac{1}{2} \right)}}$$
Simplify
The graph
Plot the graph f(x)
Numerical answer [src] 
0.549875085147308
0.549875085147308

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

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