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x^3*e^(x^4)*dx

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  • Identical expressions

  • x^ three *e^(x^ four)*dx
  • x cubed multiply by e to the power of (x to the power of 4) multiply by dx
  • x to the power of three multiply by e to the power of (x to the power of four) multiply by dx
  • x3*e(x4)*dx
  • x3*ex4*dx
  • x³*e^(x⁴)*dx
  • x to the power of 3*e to the power of (x to the power of 4)*dx
  • x^3e^(x^4)dx
  • x3e(x4)dx
  • x3ex4dx
  • x^3e^x^4dx
Solving integrals/ x^3*e^(x^4)*dx

Integral of x^3*e^(x^4)*dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |      / 4\   
 |   3  \x /   
 |  x *E     dx
 |             
/              
0
$$\int\limits_{0}^{1} e^{x^{4}} x^{3}\, dx$$ 
Integral(x^3*E^(x^4), (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] 
  /                       
 |                    / 4\
 |     / 4\           \x /
 |  3  \x /          e    
 | x *E     dx = C + -----
 |                     4  
/
$$\int e^{x^{4}} x^{3}\, dx = C + \frac{e^{x^{4}}}{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  1   E
- - + -
  4   4
$$- \frac{1}{4} + \frac{e}{4}$$ 
=
= 
  1   E
- - + -
  4   4
$$- \frac{1}{4} + \frac{e}{4}$$ 
-1/4 + E/4
Numerical answer [src] 
0.429570457114761
0.429570457114761
The graph
Integral of x^3*e^(x^4)*dx dx

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

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