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xarcsinsqrtx
Solving integrals/ xarcsinsqrtx

Integral of xarcsinsqrtx dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |        /  ___\   
 |  x*asin\\/ x / dx
 |                  
/                   
0
$$\int\limits_{0}^{1} x \operatorname{asin}{\left(\sqrt{x} \right)}\, dx$$ 
Integral(x*asin(sqrt(x)), (x, 0, 1))
The answer (Indefinite) [src] 
                                                                     /      ___    3/2\
  /                                                          _______ |  3*\/ x    x   |
 |                              /  ___\    2     /  ___\   \/ 1 - x *|- ------- - ----|
 |       /  ___\          3*asin\\/ x /   x *asin\\/ x /             \     8       4  /
 | x*asin\\/ x / dx = C - ------------- + -------------- - ----------------------------
 |                              16              2                       2              
/
$$2\,\left({{\arcsin \sqrt{x}\,x^2}\over{4}}-{{-{{\sqrt{1-x}\,x^{{{3 }\over{2}}}}\over{4}}-{{3\,\sqrt{1-x}\,\sqrt{x}}\over{8}}+{{3\, \arcsin \sqrt{x}}\over{8}}}\over{4}}\right)$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
5*pi
----
 32
$${{5\,\pi}\over{32}}$$ 
=
= 
5*pi
----
 32
$$\frac{5 \pi}{32}$$
Упростить
Numerical answer [src] 
0.490873852123405
0.490873852123405
The graph
Integral of xarcsinsqrtx dx

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

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