1 / | | -2*x | E dx | / 0
Integral(E^(-2*x), (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*x | -2*x e | E dx = C - ----- | 2 /
-2 1 e - - --- 2 2
=
-2 1 e - - --- 2 2
1/2 - exp(-2)/2
Use the examples entering the upper and lower limits of integration.