The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

https://doi.org/10.4169/college.math.j.48.4.284 https://www.jstor.org/stable/10.4169/college.math.j.48.4.284 After decades of using trigonometric substitutions to ...

Remember that integration is the inverse procedure to differentiation. So, if you can do trigonometric differentiation, you can do trig integration.

How do you integrate with a computer? Let's start with an example. Suppose a car travels only in the x-direction. It starts at x = 0 m with a velocity of 0 m/s. If the car has a constant acceleration ...

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}{a}} ...