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  • Integral of d{x}:
  • Integral of xln(x) Integral of xln(x)
  • Integral of x*2 Integral of x*2
  • Integral of x*dx/(x+1) Integral of x*dx/(x+1)
  • Integral of e^2x Integral of e^2x
  • Identical expressions

  • (sqrt(two *x- five)^ two)^(one / three)/((sqrt((two *x- five)^ three))+(sqrt((two *x- five)^ four)))
  • ( square root of (2 multiply by x minus 5) squared ) to the power of (1 divide by 3) divide by (( square root of ((2 multiply by x minus 5) cubed )) plus ( square root of ((2 multiply by x minus 5) to the power of 4)))
  • ( square root of (two multiply by x minus five) to the power of two) to the power of (one divide by three) divide by (( square root of ((two multiply by x minus five) to the power of three)) plus ( square root of ((two multiply by x minus five) to the power of four)))
  • (√(2*x-5)^2)^(1/3)/((√((2*x-5)^3))+(√((2*x-5)^4)))
  • (sqrt(2*x-5)2)(1/3)/((sqrt((2*x-5)3))+(sqrt((2*x-5)4)))
  • sqrt2*x-521/3/sqrt2*x-53+sqrt2*x-54
  • (sqrt(2*x-5)²)^(1/3)/((sqrt((2*x-5)³))+(sqrt((2*x-5)⁴)))
  • (sqrt(2*x-5) to the power of 2) to the power of (1/3)/((sqrt((2*x-5) to the power of 3))+(sqrt((2*x-5) to the power of 4)))
  • (sqrt(2x-5)^2)^(1/3)/((sqrt((2x-5)^3))+(sqrt((2x-5)^4)))
  • (sqrt(2x-5)2)(1/3)/((sqrt((2x-5)3))+(sqrt((2x-5)4)))
  • sqrt2x-521/3/sqrt2x-53+sqrt2x-54
  • sqrt2x-5^2^1/3/sqrt2x-5^3+sqrt2x-5^4
  • (sqrt(2*x-5)^2)^(1 divide by 3) divide by ((sqrt((2*x-5)^3))+(sqrt((2*x-5)^4)))
  • (sqrt(2*x-5)^2)^(1/3)/((sqrt((2*x-5)^3))+(sqrt((2*x-5)^4)))dx
  • Similar expressions

  • (sqrt(2*x-5)^2)^(1/3)/((sqrt((2*x-5)^3))-(sqrt((2*x-5)^4)))
  • (sqrt(2*x-5)^2)^(1/3)/((sqrt((2*x+5)^3))+(sqrt((2*x-5)^4)))
  • (sqrt(2*x+5)^2)^(1/3)/((sqrt((2*x-5)^3))+(sqrt((2*x-5)^4)))
  • (sqrt(2*x-5)^2)^(1/3)/((sqrt((2*x-5)^3))+(sqrt((2*x+5)^4)))

Integral of (sqrt(2*x-5)^2)^(1/3)/((sqrt((2*x-5)^3))+(sqrt((2*x-5)^4))) dx

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Piecewise:

The solution

You have entered [src]
  1                                     
  /                                     
 |                                      
 |              ______________          
 |             /            2           
 |          3 /    _________            
 |          \/   \/ 2*x - 5             
 |  --------------------------------- dx
 |     ____________      ____________   
 |    /          3      /          4    
 |  \/  (2*x - 5)   + \/  (2*x - 5)     
 |                                      
/                                       
0                                       
$$\int\limits_{0}^{1} \frac{\sqrt[3]{\left(\sqrt{2 x - 5}\right)^{2}}}{\sqrt{\left(2 x - 5\right)^{3}} + \sqrt{\left(2 x - 5\right)^{4}}}\, dx$$
Integral(((sqrt(2*x - 5))^2)^(1/3)/(sqrt((2*x - 5)^3) + sqrt((2*x - 5)^4)), (x, 0, 1))
Numerical answer [src]
(0.0776991367914861 + 0.0502366675208755j)
(0.0776991367914861 + 0.0502366675208755j)

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