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e^4xdx/1+3e^4x
Solving integrals/ e^4xdx/1+3e^4x

You entered:

e^4xdx/1+3e^4x

What you mean?

e^4*x*dx/1 + 3*e^4*x
 
e^(4*x)*dx/1 + 3*e^(4*x)
 
e^4*x*dx/(1 + 3*e^4*x)
 
e^4*x*dx*x/(1 + 3*e^4)
 
e^4*x*dx*4*x/(1 + 3*e)
 
e^4*x*dx*x/((1 + 3*e)^4)
 
e^4*x*dx/1 + 3*e^4*x

Integral of e^4xdx/1+3e^4x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                       
  /                       
 |                        
 |  / 4     1      4  \   
 |  |e *x*1*- + 3*e *x| dx
 |  \       1         /   
 |                        
/                         
0
$$\int\limits_{0}^{1} \left(e^{4} x 1 \cdot 1^{-1} + 3 x e^{4}\right)\, dx$$ 
Integral(E^4*x*1/1 + 3*E^4*x, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

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

      1. The integral of is when :

      So, the result is:

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

      1. The integral of is when :

      So, the result is:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                    
 |                                     
 | / 4     1      4  \             2  4
 | |e *x*1*- + 3*e *x| dx = C + 2*x *e 
 | \       1         /                 
 |                                     
/
$$\int \left(e^{4} x 1 \cdot 1^{-1} + 3 x e^{4}\right)\, dx = C + 2 x^{2} e^{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
   4
2*e
$$2 e^{4}$$ 
=
= 
   4
2*e
$$2 e^{4}$$
Упростить
Numerical answer [src] 
109.196300066288
109.196300066288
The graph
Integral of e^4xdx/1+3e^4x dx

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

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