Final answer:
To evaluate the integral ∫ 7/(a+b) dx, treat (a+b) as a constant and integrate with respect to x, resulting in (7/(a+b))(x) + C.
Step-by-step explanation:
The given integral is: ∫ 7/(a+b) dx.
To evaluate this integral, we can treat a+b as a constant and factor it out of the integral:
∫ 7/(a+b) dx = (7/(a+b)) ∫ dx
Then we can integrate with respect to x:
(7/(a+b)) ∫ dx = (7/(a+b)) (x) + C
Therefore, the result of the integral is (7/(a+b)) x + C.