Note: This only works when \(x\) is measured in radians. We are now going to look at more complex trigonometric functions where we will use the general rule: \(\int {\cos (ax + b)dx = \frac{1}{ ...

\(\frac{{dy}}{{dx}} = \frac{{dy}}{{du}} \times \frac{{du}}{{dx}}\) \(\frac{{dy}}{{dx}} = \frac{1}{2}{(u)^{ - \frac{1}{2}}} \times (4x + 3)\) \(\frac{{dy}}{{dx ...