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x^(1/2)(1+x^(3/2))^(1/2)

  • How to use it?

  • Integral of d{x}:
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  • Integral of e^2x Integral of e^2x

  • Identical expressions

  • x^(one / two)(one +x^(three / two))^(one / two)
  • x to the power of (1 divide by 2)(1 plus x to the power of (3 divide by 2)) to the power of (1 divide by 2)
  • x to the power of (one divide by two)(one plus x to the power of (three divide by two)) to the power of (one divide by two)
  • x(1/2)(1+x(3/2))(1/2)
  • x1/21+x3/21/2
  • x^1/21+x^3/2^1/2
  • x^(1 divide by 2)(1+x^(3 divide by 2))^(1 divide by 2)
  • x^(1/2)(1+x^(3/2))^(1/2)dx

  • Similar expressions

  • x^(1/2)(1-x^(3/2))^(1/2)
Solving integrals/ x^(1/2)(1+x^(3/2))^(1/2)

Integral of x^(1/2)(1+x^(3/2))^(1/2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                       
  /                       
 |                        
 |           __________   
 |    ___   /      3/2    
 |  \/ x *\/  1 + x     dx
 |                        
/                         
0
$$\int\limits_{0}^{1} \sqrt{x} \sqrt{x^{\frac{3}{2}} + 1}\, dx$$ 
Integral(sqrt(x)*sqrt(1 + x^(3/2)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                            
 |                                          3/2
 |          __________            /     3/2\   
 |   ___   /      3/2           4*\1 + x   /   
 | \/ x *\/  1 + x     dx = C + ---------------
 |                                     9       
/
$${{4\,\left(x^{{{3}\over{2}}}+1\right)^{{{3}\over{2}}}}\over{9}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
          ___
  4   8*\/ 2 
- - + -------
  9      9
$${{2^{{{7}\over{2}}}}\over{9}}-{{4}\over{9}}$$ 
=
= 
          ___
  4   8*\/ 2 
- - + -------
  9      9
$$- \frac{4}{9} + \frac{8 \sqrt{2}}{9}$$
Упростить
Numerical answer [src] 
0.812634277664973
0.812634277664973
The graph
Integral of x^(1/2)(1+x^(3/2))^(1/2) dx

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

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