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  • Identical expressions

  • x^ nine /sqrt(one + eight *x)
  • x to the power of 9 divide by square root of (1 plus 8 multiply by x)
  • x to the power of nine divide by square root of (one plus eight multiply by x)
  • x^9/√(1+8*x)
  • x9/sqrt(1+8*x)
  • x9/sqrt1+8*x
  • x⁹/sqrt(1+8*x)
  • x^9/sqrt(1+8x)
  • x9/sqrt(1+8x)
  • x9/sqrt1+8x
  • x^9/sqrt1+8x
  • x^9 divide by sqrt(1+8*x)
  • x^9/sqrt(1+8*x)dx

  • Similar expressions

  • x^9/sqrt(1-8*x)
Solving integrals/ x^9/sqrt(1+8*x)

Integral of x^9/sqrt(1+8*x) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |        9       
 |       x        
 |  ----------- dx
 |    _________   
 |  \/ 1 + 8*x    
 |                
/                 
0
∫01x98x+1 dx\int\limits_{0}^{1} \frac{x^{9}}{\sqrt{8 x + 1}}\, dx 
Integral(x^9/sqrt(1 + 8*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                                                                                                                                              
 |                                                                                                                                                                                               
 |       9                          13/2              5/2              17/2              9/2     _________            19/2              7/2              3/2              15/2               11/2
 |      x               21*(1 + 8*x)       9*(1 + 8*x)      9*(1 + 8*x)       7*(1 + 8*x)      \/ 1 + 8*x    (1 + 8*x)       3*(1 + 8*x)      3*(1 + 8*x)      3*(1 + 8*x)       63*(1 + 8*x)    
 | ----------- dx = C - ---------------- - -------------- - --------------- - -------------- - ----------- + ------------- + -------------- + -------------- + --------------- + ----------------
 |   _________             1744830464        671088640         9126805504       268435456       536870912     10200547328      134217728        536870912         671088640         2952790016   
 | \/ 1 + 8*x                                                                                                                                                                                    
 |                                                                                                                                                                                               
/
∫x98x+1 dx=C+(8x+1)19210200547328−9(8x+1)1729126805504+3(8x+1)152671088640−21(8x+1)1321744830464+63(8x+1)1122952790016−7(8x+1)92268435456+3(8x+1)72134217728−9(8x+1)52671088640+3(8x+1)32536870912−8x+1536870912\int \frac{x^{9}}{\sqrt{8 x + 1}}\, dx = C + \frac{\left(8 x + 1\right)^{\frac{19}{2}}}{10200547328} - \frac{9 \left(8 x + 1\right)^{\frac{17}{2}}}{9126805504} + \frac{3 \left(8 x + 1\right)^{\frac{15}{2}}}{671088640} - \frac{21 \left(8 x + 1\right)^{\frac{13}{2}}}{1744830464} + \frac{63 \left(8 x + 1\right)^{\frac{11}{2}}}{2952790016} - \frac{7 \left(8 x + 1\right)^{\frac{9}{2}}}{268435456} + \frac{3 \left(8 x + 1\right)^{\frac{7}{2}}}{134217728} - \frac{9 \left(8 x + 1\right)^{\frac{5}{2}}}{671088640} + \frac{3 \left(8 x + 1\right)^{\frac{3}{2}}}{536870912} - \frac{\sqrt{8 x + 1}}{536870912}
Simplify
Numerical answer [src] 
0.0348632801928625
0.0348632801928625

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