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xdx/sin^2x
Solving integrals/ xdx/sin^2x

Integral of xdx/sin^2x dx

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The solution

You have entered [src] 
  1               
  /               
 |                
 |         1      
 |  x*1*------- dx
 |         2      
 |      sin (x)   
 |                
/                 
0
∫01x1⋅1sin⁡2(x) dx\int\limits_{0}^{1} x 1 \cdot \frac{1}{\sin^{2}{\left(x \right)}}\, dx
Simplify
The answer (Indefinite) [src] 
  /                                             /x\                         
 |                                         x*tan|-|                         
 |        1                /       2/x\\        \2/      x          /   /x\\
 | x*1*------- dx = C - log|1 + tan |-|| + -------- - -------- + log|tan|-||
 |        2                \        \2//      2            /x\      \   \2//
 |     sin (x)                                        2*tan|-|              
 |                                                         \2/              
/
(sin⁡2(2 x)+cos⁡2(2 x)−2 cos⁡(2 x)+1) log⁡(sin⁡2x+cos⁡2x+2 cos⁡x+1)+(sin⁡2(2 x)+cos⁡2(2 x)−2 cos⁡(2 x)+1) log⁡(sin⁡2x+cos⁡2x−2 cos⁡x+1)−4 x sin⁡(2 x)2 sin⁡2(2 x)+2 cos⁡2(2 x)−4 cos⁡(2 x)+2{{\left(\sin ^2\left(2\,x\right)+\cos ^2\left(2\,x\right)-2\,\cos \left(2\,x\right)+1\right)\,\log \left(\sin ^2x+\cos ^2x+2\,\cos x+1 \right)+\left(\sin ^2\left(2\,x\right)+\cos ^2\left(2\,x\right)-2\, \cos \left(2\,x\right)+1\right)\,\log \left(\sin ^2x+\cos ^2x-2\, \cos x+1\right)-4\,x\,\sin \left(2\,x\right)}\over{2\,\sin ^2\left(2 \,x\right)+2\,\cos ^2\left(2\,x\right)-4\,\cos \left(2\,x\right)+2}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-1000010000
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The answer [src] 
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Simplify
Numerical answer [src] 
44.2757497717895
44.2757497717895
The graph
Integral of xdx/sin^2x dx

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

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