using arctan x/a answe 3arctan5x

We can simplify this expression to make it more manageable.

Let's first write 3arctan5x as 3 * arctan(5x). Then, using the rule that arctan(x/a) = arctan(a), we can rewrite the expression as arctan(5x/3).

Therefore, 3 * arctan(5x) is equivalent to arctan(5x/3).