Integration Question #1

This is a rather easy questions which stumped a good number of students initially. Hint: You must use integration by parts.

Integrating Trigonometric functions (part 5)

This will be about integrating product of trigonometric functions with no powers involved for example, or . The simple trick here is to use the product to sum to formulas that can be found here. [...]

Integrating Trigonometric functions (part 4)

We shall now proceed to integrating and similarly, lets refresh the formulas we should know. (MF15) (MF15) So how do we ? I’ll first rewrite it as for some insights. We can’t adopt [...]

Integrating Trigonometric functions (part 3)

So part 3, we look at ! This is slightly more complicated as we need to first lay out some formulas that we should know. (MF15) (MF15) Notice how and are quite related here… And we recall [...]

Integrating Trigonometric functions (part 2)

As promised, we will look at this time. It might get boring, as the method is exactly the same as as they are quite related. Easy! This requires double angle formula: Here we introduce trigo [...]

Let’s try some calculus questions

Many students often overlook that the coefficient of in the integration or differentiation formulas in MF15 is 1!!! When it is not 1, many things changes. I’ll let the examples do the [...]

Integrating Trigonometric functions (part 1)

Integration is topic that eludes several students. Many think that its those “you either see or don’t” topic. But its all practice and a bit of tricks. Let me touch on [...]

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