1 / | | -3*x | E dx | / 0
Integral(E^(-3*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:
/ | -3*x | -3*x e | E dx = C - ----- | 3 /
-3 1 e - - --- 3 3
=
-3 1 e - - --- 3 3
1/3 - exp(-3)/3
Use the examples entering the upper and lower limits of integration.