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How to use it?
Integral of d{x}:
Integral of 4x
Integral of e^(2*x)
Integral of 1/(x^3)
Integral of 1/y
Identical expressions
e^ six *x
e to the power of 6 multiply by x
e to the power of six multiply by x
e6*x
e⁶*x
e^6x
e6x
e^6*xdx
Similar expressions
x^8+4*x+2+e^(6*x)
1/(sqrt(e^(6*x)-4))
e^(3x)/(25-e^(6x))
What you mean?
e^6*x
e^(6*x)
e^(6*x)

Solving integrals/ e^6*x

You entered:

e^6*x

What you mean?

e^6*x

e^(6*x)

e^(6*x)

Integral of e^6*x dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} e^{6} x\, dx$$

Integral(E^6*x, (x, 0, 1))

Detail solution

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

$\int e^{6} x\, dx = e^{6} \int x\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x\, dx = \frac{x^{2}}{2}$
So, the result is: $\frac{x^{2} e^{6}}{2}$
Add the constant of integration:

$\frac{x^{2} e^{6}}{2}+ \mathrm{constant}$

The answer is:

$\frac{x^{2} e^{6}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                   
 |                2  6
 |  6            x *e 
 | E *x dx = C + -----
 |                 2  
/

$$\int e^{6} x\, dx = C + \frac{x^{2} e^{6}}{2}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

 6
e 
--
2

$$\frac{e^{6}}{2}$$

=

 6
e 
--
2

$$\frac{e^{6}}{2}$$

exp(6)/2

Numerical answer [src]

201.714396746368

201.714396746368

The graph

Integral of e^6*x dx

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