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x^6*e^x

Integral of x^6*e^x dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  1         
  /         
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 |   6  x   
 |  x *E  dx
 |          
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$$\int\limits_{0}^{1} e^{x} x^{6}\, dx$$
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 
 |                                                                      
/                                                                       
$$\int e^{x} x^{6}\, dx = C + \left(x^{6} - 6 x^{5} + 30 x^{4} - 120 x^{3} + 360 x^{2} - 720 x + 720\right) e^{x}$$
The graph
The answer [src]
-720 + 265*E
$$-720 + 265 e$$
=
=
-720 + 265*E
$$-720 + 265 e$$
-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.