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Solving integrals/ 105*x^2*(sqrt(1-x))dx

Integral of 105*x^2*(sqrt(1-x))dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                    
  /                    
 |                     
 |       2   _______   
 |  105*x *\/ 1 - x  dx
 |                     
/                      
0
$$\int\limits_{0}^{1} 105 x^{2} \sqrt{1 - x}\, dx$$ 
Integral((105*x^2)*sqrt(1 - x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                       
 |                                                                        
 |      2   _______                    3/2             7/2             5/2
 | 105*x *\/ 1 - x  dx = C - 70*(1 - x)    - 30*(1 - x)    + 84*(1 - x)   
 |                                                                        
/
$$\int 105 x^{2} \sqrt{1 - x}\, dx = C - 30 \left(1 - x\right)^{\frac{7}{2}} + 84 \left(1 - x\right)^{\frac{5}{2}} - 70 \left(1 - x\right)^{\frac{3}{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
16
$$16$$ 
=
= 
16
$$16$$ 
16
Numerical answer [src] 
16.0
16.0

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

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