apiwowar said:integral of x/x2 +2x+2
so the first thing i did was complete the square which gave me
integral of x/(x-1)2+1
then i tried substituting by w=x-1 and dw = dx but that leaves the x on the top.
what am i not seeing?
The integral of (x/x2 + 2x + 2) is equal to ln|x| + x2 + 2x + C, where C is the constant of integration.
The method to solve the integral of (x/x2 + 2x + 2) is to first rewrite the expression as (1/x + 2 + 2/x2), then use the power rule and substitution to find the integral.
Yes, the integral can be simplified to ln|x| + (x+2)/x + C. However, further simplification is not possible.
There are no specific limits of integration for this integral. The general formula for indefinite integration is used, so the limits can be any real numbers.
No, there is no shortcut method to solve this integral. However, recognizing the expression as a sum of two simpler integrals can make the process more efficient.