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(1-x^2)sqrtx-3
Solving integrals/ (1-x^2)sqrtx-3

Integral of (1-x^2)sqrtx-3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1/2                       
   /                        
  |                         
  |  //     2\   ___    \   
  |  \\1 - x /*\/ x  - 3/ dx
  |                         
 /                          
-1/2
$$\int\limits_{- \frac{1}{2}}^{\frac{1}{2}} \left(\sqrt{x} \left(- x^{2} + 1\right) - 3\right)\, dx$$
Simplify
The answer (Indefinite) [src] 
  /                                                   
 |                                        7/2      3/2
 | //     2\   ___    \                2*x      2*x   
 | \\1 - x /*\/ x  - 3/ dx = C - 3*x - ------ + ------
 |                                       7        3   
/
$$-{{6\,x^{{{7}\over{2}}}-14\,x^{{{3}\over{2}}}}\over{21}}-3\,x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
          ___          ___
     25*\/ 2    25*I*\/ 2 
-3 + -------- + ----------
       168         168
$${{25\,\sqrt{2}\,i+25\,\sqrt{2}-504}\over{168}}$$ 
=
= 
          ___          ___
     25*\/ 2    25*I*\/ 2 
-3 + -------- + ----------
       168         168
$$-3 + \frac{25 \sqrt{2}}{168} + \frac{25 \sqrt{2} i}{168}$$
Simplify
Numerical answer [src] 
(-2.78983417343555 + 0.21016582656445j)
(-2.78983417343555 + 0.21016582656445j)
The graph
Integral of (1-x^2)sqrtx-3 dx

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

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