QuestionFind $f'(x)$ if $f(x)=\frac{x^{2}+1}{3 x}$ and evaluate $\int(2 x+3)(x^{2}+3 x)^{4} dx$.

Studdy Solution
Substitute back $u = x^{2}+3x$ into $\frac{}{5}u^{5} + C$ to find the final integral result$$\frac{}{5}(x^{2}+3x)^{5} + C$$
So, for question29, option (a) $\frac{}{5}(x^{2}+3x)^{5} + C$ is the correct integration of the function.