3 / | | /2 4 \ | |- + ----| dx | |x 3/2| | \ x / | / 2
Integral(2/x + 4/x^(3/2), (x, 2, 3))
Integrate term-by-term:
The integral of a constant times a function is the constant times the integral of the function:
The integral of is .
So, the result is:
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:
Add the constant of integration:
The answer is:
/ | | /2 4 \ 8 | |- + ----| dx = C - ----- + 2*log(x) | |x 3/2| ___ | \ x / \/ x | /
___ ___ 8*\/ 3 -2*log(2) + 2*log(3) + 4*\/ 2 - ------- 3
=
___ ___ 8*\/ 3 -2*log(2) + 2*log(3) + 4*\/ 2 - ------- 3
-2*log(2) + 2*log(3) + 4*sqrt(2) - 8*sqrt(3)/3
Use the examples entering the upper and lower limits of integration.