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Identical expressions
(one -x)^ three *root(x)
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Similar expressions
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Solving integrals/ (1-x)^3*root(x)

Integral of (1-x)^3*root(x) dx

The solution

You have entered [src]

  1                  
  /                  
 |                   
 |         3   ___   
 |  (1 - x) *\/ x  dx
 |                   
/                    
0

$$\int\limits_{0}^{1} \sqrt{x} \left(- x + 1\right)^{3}\, dx$$

Simplify

The answer (Indefinite) [src]

  /                                                         
 |                            5/2      9/2      3/2      7/2
 |        3   ___          6*x      2*x      2*x      6*x   
 | (1 - x) *\/ x  dx = C - ------ - ------ + ------ + ------
 |                           5        9        3        7   
/

$$-{{70\,x^{{{9}\over{2}}}-270\,x^{{{7}\over{2}}}+378\,x^{{{5}\over{2 }}}-210\,x^{{{3}\over{2}}}}\over{315}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

 32
---
315

$${{32}\over{315}}$$

 32
---
315

$$\frac{32}{315}$$

Simplify

Numerical answer [src]

0.101587301587302

0.101587301587302

The graph

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

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Identical expressions

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Integral of (1-x)^3*root(x) dx

Limits of integration:

The graph:

Piecewise:

The solution