1 / | | 2 x | x *e dx | / 0
Integral(x^2*E^x, (x, 0, 1))
Use integration by parts:
Let and let .
Then .
To find :
The integral of the exponential function is itself.
Now evaluate the sub-integral.
Use integration by parts:
Let and let .
Then .
To find :
The integral of the exponential function is itself.
Now evaluate the sub-integral.
The integral of a constant times a function is the constant times the integral of the function:
The integral of the exponential function is itself.
So, the result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | 2 x x 2 x x | x *e dx = C + 2*e + x *e - 2*x*e | /
Use the examples entering the upper and lower limits of integration.