1 / | | / 2\ | \x / | x*E dx | / 0
Integral(x*E^(x^2), (x, 0, 1))
Let .
Then let and substitute :
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 substitute back in:
Add the constant of integration:
The answer is:
/ | / 2\ | / 2\ \x / | \x / e | x*E dx = C + ----- | 2 /
1 E - - + - 2 2
=
1 E - - + - 2 2
-1/2 + E/2
Use the examples entering the upper and lower limits of integration.