1 / | | x | (x - 2)*E dx | / 0
Integral((x - 2)*E^x, (x, 0, 1))
Rewrite the integrand:
Integrate term-by-term:
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 the exponential function is itself.
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:
The result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | x x x | (x - 2)*E dx = C - 3*e + x*e | /
Use the examples entering the upper and lower limits of integration.