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x^6*e^x
Solving integrals/ x^6*e^x

Integral of x^6*e^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
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 |   6  x   
 |  x *E  dx
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0
∫01exx6 dx\int\limits_{0}^{1} e^{x} x^{6}\, dx 
Integral(x^6*E^x, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                     
 |                                                                      
 |  6  x          /       6                3      5       4        2\  x
 | x *E  dx = C + \720 + x  - 720*x - 120*x  - 6*x  + 30*x  + 360*x /*e 
 |                                                                      
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∫exx6 dx=C+(x6−6x5+30x4−120x3+360x2−720x+720)ex\int e^{x} x^{6}\, dx = C + \left(x^{6} - 6 x^{5} + 30 x^{4} - 120 x^{3} + 360 x^{2} - 720 x + 720\right) e^{x}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9001000
Plot the graph f(x)
The answer [src] 
-720 + 265*E
−720+265e-720 + 265 e 
=
= 
-720 + 265*E
−720+265e-720 + 265 e 
-720 + 265*E
Numerical answer [src] 
0.344684541646987
0.344684541646987
The graph
Integral of x^6*e^x dx

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

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