find the most general antiderivative or indefinite integral. ∫(18x + 7)dx ∫(18x + 7)dx =

Explanation:

Step1: Apply sum - rule of integration

$\int(18x + 7)dx=\int18x dx+\int7dx$

Step2: Integrate $\int18x dx$

Using the power - rule $\int x^n dx=\frac{x^{n + 1}}{n+1}+C$ ($n\neq - 1$), for $\int18x dx$, since $n = 1$, we have $18\times\frac{x^{1+1}}{1 + 1}=9x^{2}$

Step3: Integrate $\int7dx$

$\int7dx=7x$ (because $\int kdx=kx + C$ where $k$ is a constant)

Step4: Combine results and add constant of integration

$9x^{2}+7x + C$

Answer:

$9x^{2}+7x + C$