Mister Exam

Other calculators

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

  • How to use it?

  • Integral of d{x}:
  • Integral of (x+1)/(x^2+2x-1) Integral of (x+1)/(x^2+2x-1)
  • Integral of ln|secx+tanx|dx
  • Integral of e^×^2 Integral of e^×^2
  • Integral of e^(2*x)+3 Integral of e^(2*x)+3

  • Identical expressions

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

  • Similar expressions

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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                       
  /                       
 |                        
 |            1           
 |  1*----------------- dx
 |    /    3 ___\   ___   
 |    \1 + \/ x /*\/ x    
 |                        
/                         
0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\sqrt{x} \left(\sqrt[3]{x} + 1\right)}\, dx$$ 
Integral(1/((1 + x^(1/3))*sqrt(x)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                    
 |                                                     
 |           1                        /6 ___\     6 ___
 | 1*----------------- dx = C - 6*atan\\/ x / + 6*\/ x 
 |   /    3 ___\   ___                                 
 |   \1 + \/ x /*\/ x                                  
 |                                                     
/
$$6\,x^{{{1}\over{6}}}-6\,\arctan x^{{{1}\over{6}}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
    3*pi
6 - ----
     2
$$-{{3\,\pi-12}\over{2}}$$ 
=
= 
    3*pi
6 - ----
     2
$$- \frac{3 \pi}{2} + 6$$
Simplify
Numerical answer [src] 
1.28761101908473
1.28761101908473
The graph
Integral of 1/((1+x^(1/3))*x^(1/2)) dx

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

    © Mister Exam – Calculator