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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

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
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 |   6     
 |  E *x dx
 |         
/          
0
∫01e6x dx\int\limits_{0}^{1} e^{6} x\, dx 
Integral(E^6*x, (x, 0, 1))
Detail solution

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

    ∫e6x dx=e6∫x dx\int e^{6} x\, dx = e^{6} \int x\, dx

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

      ∫x dx=x22\int x\, dx = \frac{x^{2}}{2}

    So, the result is: x2e62\frac{x^{2} e^{6}}{2}

  2. Add the constant of integration:

    x2e62+constant\frac{x^{2} e^{6}}{2}+ \mathrm{constant}

The answer is:

x2e62+constant\frac{x^{2} e^{6}}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                   
 |                2  6
 |  6            x *e 
 | E *x dx = C + -----
 |                 2  
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∫e6x dx=C+x2e62\int e^{6} x\, dx = C + \frac{x^{2} e^{6}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900500
Plot the graph f(x)
The answer [src] 
 6
e 
--
2
e62\frac{e^{6}}{2} 
=
= 
 6
e 
--
2
e62\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.

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