1 / | | _________ | \/ 5 - 2*x dx | / 0
Integral(sqrt(5 - 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 | _________ (5 - 2*x) | \/ 5 - 2*x dx = C - ------------ | 3 /
___ ___ 5*\/ 5 - \/ 3 + ------- 3
=
___ ___ 5*\/ 5 - \/ 3 + ------- 3
-sqrt(3) + 5*sqrt(5)/3
Use the examples entering the upper and lower limits of integration.