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Integral of ((24x^4+42x^5)+2/(x^2-1)*(4,8x^5+7x^6)+27/sqrt(1-x^2)*(0,8x^6+x^7))*(0,8x^6+x^7) dx

Limits of integration:

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The solution

You have entered [src]
 4/5                                                                                
  /                                                                                 
 |                                                                                  
 |  /                       /    5       \               /   6     \\ /   6     \   
 |  |    4       5     2    |24*x       6|        27     |4*x     7|| |4*x     7|   
 |  |24*x  + 42*x  + ------*|----- + 7*x | + -----------*|---- + x ||*|---- + x | dx
 |  |                 2     \  5         /      ________ \ 5       /| \ 5       /   
 |  |                x  - 1                    /      2             |               
 |  \                                        \/  1 - x              /               
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$$\int\limits_{0}^{\frac{4}{5}} \left(x^{7} + \frac{4 x^{6}}{5}\right) \left(\left(x^{7} + \frac{4 x^{6}}{5}\right) \frac{27}{\sqrt{1 - x^{2}}} + \left(\frac{2}{x^{2} - 1} \left(7 x^{6} + \frac{24 x^{5}}{5}\right) + \left(42 x^{5} + 24 x^{4}\right)\right)\right)\, dx$$
Integral((24*x^4 + 42*x^5 + (2/(x^2 - 1))*(24*x^5/5 + 7*x^6) + (27/sqrt(1 - x^2))*(4*x^6/5 + x^7))*(4*x^6/5 + x^7), (x, 0, 4/5))
Numerical answer [src]
0.666426426849114
0.666426426849114

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