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x^2*e^(x^3)*dx

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  • Integral of d{x}:
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  • Integral of x^2√(1-x^2)
  • Integral of x^2*e^(x^3)*dx Integral of x^2*e^(x^3)*dx
  • Integral of 1/sin²x Integral of 1/sin²x

  • Identical expressions

  • x^ two *e^(x^ three)*dx
  • x squared multiply by e to the power of (x cubed ) multiply by dx
  • x to the power of two multiply by e to the power of (x to the power of three) multiply by dx
  • x2*e(x3)*dx
  • x2*ex3*dx
  • x²*e^(x³)*dx
  • x to the power of 2*e to the power of (x to the power of 3)*dx
  • x^2e^(x^3)dx
  • x2e(x3)dx
  • x2ex3dx
  • x^2e^x^3dx
Solving integrals/ x^2*e^(x^3)*dx

Integral of x^2*e^(x^3)*dx 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
$$\int\limits_{0}^{1} e^{x^{3}} x^{2}\, dx$$ 
Integral(x^2*E^(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  
/
$$\int e^{x^{3}} x^{2}\, dx = C + \frac{e^{x^{3}}}{3}$$
Simplify
The graph
Plot the graph f(x)
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*e^(x^3)*dx dx

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

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