3) \( f(x)=\frac{e^{-3 x}}{3 x-5} \)

\( \lim _ { n \rightarrow \infty } ( \frac { n } { n ^ { 2 } + 1 } + \frac { n } { n ^ { 2 } + 2 } + \cdots + \frac { n } { n ^ { 2 } + n } ) = \)

(j.) \( y=\ln \sqrt{\frac{2}{x^{3}}} \)

If a car has an acceleration function of \( a(t) = 6t \), what is its velocity function assuming it starts from rest?

The area of a rectangular cross-section of a solid is given by the dimensions in terms of a linear function: width = \(x\) and height = \(3 - x\) for \(0 \leq x \leq 3\). Calculate the volume of the solid when these rectangles are stacked from \(x=0\) to \(x=3\).

(d.) \( f(x)=\left(\frac{x+5}{x^{2}+2}\right)^{2} \)