1 / | | x + y | x*e dx | / 0
Integral(x*exp(x + y), (x, 0, 1))
Rewrite the integrand:
The integral of a constant times a function is the constant times the integral of the function:
Use integration by parts:
Let and let .
Then .
To find :
The integral of the exponential function is itself.
Now evaluate the sub-integral.
The integral of the exponential function is itself.
So, the result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | | x + y / x x\ y | x*e dx = C + \- e + x*e /*e | /
Use the examples entering the upper and lower limits of integration.