Question

Evaluate ∫(9x+16) dx. Here C is the constant of integration.

Answer 1

Given

`\int(9x+16\rparen dx`

Find

Evaluate the integration

Step-by-step explanation

as we know

`\begin{gathered} \int x^ndx=(x^(n+1))/(n+1) \\ \\ \int adx=ax \end{gathered}`

so ,

`\begin{gathered} \int(9x+16\rparen dx \\ (9x^2)/(2)+16x+C \end{gathered}`

Final Answer

Hence , on evaluation we obtain .

`(9x^2)/(2)+16x+C`