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x^2*dx/sqrt(9-x^2)
Solving integrals/ x^2*dx/sqrt(9-x^2)

You entered:

x^2*dx/sqrt(9-x^2)

What you mean?

x^2*dx/(sqrt(9 - x^2))
 
x^2*dx/((sqrt(9 - x)*2))
 
x^2*dx/((sqrt(9 - x))^2)
 
x^2*dx/(sqrt(9) - x^2)
 
x^2*dx*(9 - x^2)/(sqrt(x))
 
x*2*dx/sqrt(9 - x^2)
 
x^2*dx*(9 - x^2)/(sqrt(x))

Integral of x^2*dx/sqrt(9-x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  3                    
  /                    
 |                     
 |   2        1        
 |  x *1*----------- dx
 |          ________   
 |         /      2    
 |       \/  9 - x     
 |                     
/                      
0
$$\int\limits_{0}^{3} x^{2} \cdot 1 \cdot \frac{1}{\sqrt{9 - x^{2}}}\, dx$$ 
Integral(x^2*1/sqrt(9 - x^2), (x, 0, 3))
Detail solution

    SqrtQuadraticDenomRule(a=9, b=0, c=-1, coeffs=[1, 0, 0], context=x**2*1/sqrt(9 - x**2), symbol=x)

  1. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                /x\        ________
 |                           9*asin|-|       /      2 
 |  2        1                     \3/   x*\/  9 - x  
 | x *1*----------- dx = C + --------- - -------------
 |         ________              2             2      
 |        /      2                                    
 |      \/  9 - x                                     
 |                                                    
/
$$\int x^{2} \cdot 1 \cdot \frac{1}{\sqrt{9 - x^{2}}}\, dx = C - \frac{x \sqrt{9 - x^{2}}}{2} + \frac{9 \operatorname{asin}{\left(\frac{x}{3} \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
9*pi
----
 4
$$\frac{9 \pi}{4}$$ 
=
= 
9*pi
----
 4
$$\frac{9 \pi}{4}$$
Упростить
Numerical answer [src] 
7.06858346720024
7.06858346720024
The graph
Integral of x^2*dx/sqrt(9-x^2) dx

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

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