2281 ---- 500 / | | / 2 \ | \x - 5*x + 2/ dx | / ____ 5 \/ 17 - - ------ 2 2
Integral(x^2 - 5*x + 2, (x, 5/2 - sqrt(17)/2, 2281/500))
Integrate term-by-term:
Integrate term-by-term:
The integral of is when :
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:
The result is:
The integral of a constant is the constant times the variable of integration:
The result is:
Now simplify:
Add the constant of integration:
The answer is:
/ | 2 3 | / 2 \ 5*x x | \x - 5*x + 2/ dx = C + 2*x - ---- + -- | 2 3 /
3 2 / ____\ / ____\ |5 \/ 17 | |5 \/ 17 | |- - ------| 5*|- - ------| 6096649709 ____ \2 2 / \2 2 / - ---------- + \/ 17 - ------------- + --------------- 375000000 3 2
=
3 2 / ____\ / ____\ |5 \/ 17 | |5 \/ 17 | |- - ------| 5*|- - ------| 6096649709 ____ \2 2 / \2 2 / - ---------- + \/ 17 - ------------- + --------------- 375000000 3 2
-6096649709/375000000 + sqrt(17) - (5/2 - sqrt(17)/2)^3/3 + 5*(5/2 - sqrt(17)/2)^2/2
Use the examples entering the upper and lower limits of integration.