1 / | | _______ | \/ 2 - x dx | / 0
Integral(sqrt(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 is when :
So, the result is:
Now substitute back in:
Add the constant of integration:
The answer is:
/ | 3/2 | _______ 2*(2 - x) | \/ 2 - x dx = C - ------------ | 3 /
___ 2 4*\/ 2 - - + ------- 3 3
=
___ 2 4*\/ 2 - - + ------- 3 3
-2/3 + 4*sqrt(2)/3
Use the examples entering the upper and lower limits of integration.