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pi(sqrt(x)e^x)^2

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  • Integral of d{x}:
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  • Identical expressions

  • pi(sqrt(x)e^x)^ two
  • Pi ( square root of (x)e to the power of x) squared
  • Pi ( square root of (x)e to the power of x) to the power of two
  • pi(√(x)e^x)^2
  • pi(sqrt(x)ex)2
  • pisqrtxex2
  • pi(sqrt(x)e^x)²
  • pi(sqrt(x)e to the power of x) to the power of 2
  • pisqrtxe^x^2
  • pi(sqrt(x)e^x)^2dx
Solving integrals/ pi(sqrt(x)e^x)^2

Integral of pi(sqrt(x)e^x)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                  
  /                  
 |                   
 |               2   
 |     /  ___  x\    
 |  pi*\\/ x *e /  dx
 |                   
/                    
0
$$\int\limits_{0}^{1} \pi \left(\sqrt{x} e^{x}\right)^{2}\, dx$$ 
Integral(pi*(sqrt(x)*E^x)^2, (x, 0, 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                          
 |                                           
 |              2                         2*x
 |    /  ___  x\           pi*(-1 + 2*x)*e   
 | pi*\\/ x *e /  dx = C + ------------------
 |                                 4         
/
$${{\pi\,\left(2\,x-1\right)\,e^{2\,x}}\over{4}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
         2
pi   pi*e 
-- + -----
4      4
$$\left({{e^2}\over{4}}+{{1}\over{4}}\right)\,\pi$$ 
=
= 
         2
pi   pi*e 
-- + -----
4      4
$$\frac{\pi}{4} + \frac{\pi e^{2}}{4}$$
Упростить
Numerical answer [src] 
6.5887492527383
6.5887492527383
The graph
Integral of pi(sqrt(x)e^x)^2 dx

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

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