1 / | | x - y | E dx | / 0
Integral(E^(x - y), (x, 0, 1))
There are multiple ways to do this integral.
Let .
Then let and substitute :
The integral of the exponential function is itself.
Now substitute back in:
Rewrite the integrand:
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:
Add the constant of integration:
The answer is:
/ | | x - y x - y | E dx = C + e | /
-y 1 - y - e + e
=
-y 1 - y - e + e
-exp(-y) + exp(1 - y)
Use the examples entering the upper and lower limits of integration.