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.