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x^2*exp(x^3)

Integral of x^2*exp(x^3) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
  /            
 |             
 |      / 3\   
 |   2  \x /   
 |  x *e     dx
 |             
/              
0              
$$\int\limits_{0}^{1} x^{2} e^{x^{3}}\, dx$$
Integral(x^2*exp(x^3), (x, 0, 1))
Detail solution
  1. Let .

    Then let and substitute :

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

      1. The integral of the exponential function is itself.

      So, the result is:

    Now substitute back in:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                       
 |                    / 3\
 |     / 3\           \x /
 |  2  \x /          e    
 | x *e     dx = C + -----
 |                     3  
/                         
$$\int x^{2} e^{x^{3}}\, dx = C + \frac{e^{x^{3}}}{3}$$
The graph
The answer [src]
  1   E
- - + -
  3   3
$$- \frac{1}{3} + \frac{e}{3}$$
=
=
  1   E
- - + -
  3   3
$$- \frac{1}{3} + \frac{e}{3}$$
-1/3 + E/3
Numerical answer [src]
0.572760609486348
0.572760609486348
The graph
Integral of x^2*exp(x^3) dx

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