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x^2*sqrt(1-2*x/3)/3

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  • Integral of d{x}:
  • Integral of x^4/(x^4-2*x^2+1) Integral of x^4/(x^4-2*x^2+1)
  • Integral of (x^2) Integral of (x^2)
  • Integral of (x-4)/(x-2)(x^2+1) Integral of (x-4)/(x-2)(x^2+1)
  • Integral of (x-3)cosx Integral of (x-3)cosx

  • Identical expressions

  • x^ two *sqrt(one - two *x/ three)/ three
  • x squared multiply by square root of (1 minus 2 multiply by x divide by 3) divide by 3
  • x to the power of two multiply by square root of (one minus two multiply by x divide by three) divide by three
  • x^2*√(1-2*x/3)/3
  • x2*sqrt(1-2*x/3)/3
  • x2*sqrt1-2*x/3/3
  • x²*sqrt(1-2*x/3)/3
  • x to the power of 2*sqrt(1-2*x/3)/3
  • x^2sqrt(1-2x/3)/3
  • x2sqrt(1-2x/3)/3
  • x2sqrt1-2x/3/3
  • x^2sqrt1-2x/3/3
  • x^2*sqrt(1-2*x divide by 3) divide by 3
  • x^2*sqrt(1-2*x/3)/3dx

  • Similar expressions

  • x^2*sqrt(1+2*x/3)/3
Solving integrals/ x^2*sqrt(1-2*x/3)/3

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2                    
  /                    
 |                     
 |         _________   
 |   2    /     2*x    
 |  x *  /  1 - ---    
 |     \/        3     
 |  ---------------- dx
 |         3           
 |                     
/                      
0
$$\int\limits_{0}^{2} \frac{x^{2} \sqrt{- \frac{2 x}{3} + 1}}{3}\, dx$$ 
Integral((x^2*sqrt(1 - 2*x/3))/3, (x, 0, 2))
The answer (Indefinite) [src] 
  /                                                                          
 |                                                                           
 |        _________                     7/2              3/2              5/2
 |  2    /     2*x             /    2*x\        /    2*x\        /    2*x\   
 | x *  /  1 - ---           9*|1 - ---|      3*|1 - ---|      9*|1 - ---|   
 |    \/        3              \     3 /        \     3 /        \     3 /   
 | ---------------- dx = C - -------------- - -------------- + --------------
 |        3                        28               4                10      
 |                                                                           
/
$$\int \frac{x^{2} \sqrt{- \frac{2 x}{3} + 1}}{3}\, dx = C - \frac{9 \left(1 - \frac{2 x}{3}\right)^{\frac{7}{2}}}{28} + \frac{9 \left(1 - \frac{2 x}{3}\right)^{\frac{5}{2}}}{10} - \frac{3 \left(1 - \frac{2 x}{3}\right)^{\frac{3}{2}}}{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
            ___
6    38*I*\/ 3 
-- + ----------
35      315
$$\frac{6}{35} + \frac{38 \sqrt{3} i}{315}$$ 
=
= 
            ___
6    38*I*\/ 3 
-- + ----------
35      315
$$\frac{6}{35} + \frac{38 \sqrt{3} i}{315}$$ 
6/35 + 38*i*sqrt(3)/315
Numerical answer [src] 
(0.17114369757648 + 0.208914623154235j)
(0.17114369757648 + 0.208914623154235j)
The graph
Integral of x^2*sqrt(1-2*x/3)/3 dx

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

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