Integration (solve)
(1/x+2/x^3+2)dx
To solve the integral of (1/x + 2/x^3 + 2) dx, we can split it into separate integrals:
∫(1/x)dx + ∫(2/x^3)dx + ∫2dx
Integrating each term separately:
∫(1/x)dx = ln|x| + C1
∫(2/x^3)dx = -1/x^2 + C2
∫2dx = 2x + C3
Therefore, the solution to the original integral is:
ln|x| - 1/x^2 + 2x + C