Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of 1/(x²+1)
Integral of x^2/sqrt(1+x^2)
Integral of e^(x*(-4))
Integral of 1/(2+3x^2)
Identical expressions
(x^(three / two)exp(-x))^ two
(x to the power of (3 divide by 2) exponent of ( minus x)) squared
(x to the power of (three divide by two) exponent of ( minus x)) to the power of two
(x(3/2)exp(-x))2
x3/2exp-x2
(x^(3/2)exp(-x))²
(x to the power of (3/2)exp(-x)) to the power of 2
x^3/2exp-x^2
(x^(3 divide by 2)exp(-x))^2
(x^(3/2)exp(-x))^2dx
Similar expressions
(x^(3/2)exp(x))^2

Solving integrals/ (x^(3/2)exp(-x))^2

Integral of (x^(3/2)exp(-x))^2 dx

The solution

You have entered [src]

 oo               
  /               
 |                
 |            2   
 |  / 3/2  -x\    
 |  \x   *e  /  dx
 |                
/                 
0

$$\int\limits_{0}^{\infty} \left(x^{\frac{3}{2}} e^{- x}\right)^{2}\, dx$$

Integral((x^(3/2)*exp(-x))^2, (x, 0, oo))

The answer (Indefinite) [src]

  /                                                   
 |                                                    
 |           2          /              2      3\  -2*x
 | / 3/2  -x\           \-3 - 6*x - 6*x  - 4*x /*e    
 | \x   *e  /  dx = C + ------------------------------
 |                                    8               
/

$$\int \left(x^{\frac{3}{2}} e^{- x}\right)^{2}\, dx = C + \frac{\left(- 4 x^{3} - 6 x^{2} - 6 x - 3\right) e^{- 2 x}}{8}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

3/8

$$\frac{3}{8}$$

3/8

$$\frac{3}{8}$$

3/8

The graph

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

Other calculators

How to use it?

Identical expressions

Similar expressions

Integral of (x^(3/2)exp(-x))^2 dx

Limits of integration:

The graph:

Piecewise:

The solution