Question

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

Answer 1

Given

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

Find

Evaluate the integration

Explanation

as we know

$\begin{gathered} \int x^ndx=\frac{x^{n+1}}{n+1} \\ \\ \int adx=ax \end{gathered}$

so ,

$\begin{gathered} \int(9x+16\rparen dx \\ \frac{9x^2}{2}+16x+C \end{gathered}$

Final Answer

Hence , on evaluation we obtain .

$\frac{9x^2}{2}+16x+C$