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Solving integrals/ sqrtx(x)*exp(-x)

Integral of sqrtx(x)*exp(-x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 1/5               
  /                
 |                 
 |             2   
 |        / -x\    
 |  t*x*x*\e  /  dx
 |                 
/                  
0
$$\int\limits_{0}^{\frac{1}{5}} x t x \left(e^{- x}\right)^{2}\, dx$$ 
Integral(((t*x)*x)*exp(-x)^2, (x, 0, 1/5))
The answer (Indefinite) [src] 
  /                                                 
 |                                                  
 |            2          /                  2\  -2*x
 |       / -x\           \-t - 2*t*x - 2*t*x /*e    
 | t*x*x*\e  /  dx = C + ---------------------------
 |                                    4             
/
$$\int x t x \left(e^{- x}\right)^{2}\, dx = C + \frac{\left(- 2 t x^{2} - 2 t x - t\right) e^{- 2 x}}{4}$$
Simplify
The answer [src] 
          -2/5
t   37*t*e    
- - ----------
4      100
$$- \frac{37 t}{100 e^{\frac{2}{5}}} + \frac{t}{4}$$ 
=
= 
          -2/5
t   37*t*e    
- - ----------
4      100
$$- \frac{37 t}{100 e^{\frac{2}{5}}} + \frac{t}{4}$$ 
t/4 - 37*t*exp(-2/5)/100

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

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