This integral is solved by recognizing that the constant (5) can be moved to the outstide of the integral. Then solve 5 ∫ 1·dx = 5 ∫ x0 dx using the power rule with n = 0.
Alternatively, you can just recognize that you are looking for a function whose derivative is equal to 5. That is, you want a function that has slope = 5.
|∫ 5 dx = 5x + C|