Final answer:
The integral of (2x⁵ - 7x + 5) dx is (1/3)x⁶ - (7/4)x⁰ + 5x + C.
Step-by-step explanation:
To find the integral ∫ (2x⁵ - 7x + 5) dx, we can use the power rule of integration. The power rule states that the integral of x^n is (1/(n+1))x^(n+1) + C, where C is the constant of integration. Applying this rule to each term of the function, we get (1/3)x⁶ - (7/4)x⁰ + 5x + C. Therefore, the correct answer is option A: (1/3)x⁶ - (7/4)x⁰ + 5x + C.