Final answer:
The integral of (x^2)/(x^2) is x + C, since x^2 terms cancel out leaving the integral of 1, which is x plus the constant of integration.
Step-by-step explanation:
The question is about finding the integral of the function f(x) = (x²)/(x²).
To solve this, we notice that the x² terms in the numerator and denominator cancel each other out, which simplifies to f(x) = 1. The integral of 1 with respect to x is simply x, plus the constant of integration, C.
So, the solution to the integral ∫ (x²)/(x²) dx is x + C.
The integral of ∫ (x²)/(x²) simplifies to x + C, where C is the constant of integration.