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 integrating trigonometric functions first and we shall start with

Easy!

This requires double angle formula:

Here we introduce trigo identity:

Here we have a problem!

Notice that is the derivative () of .

So .

Finally,

Here we can apply double angle a few times to break it down before integrating.

So if you notice, this is essentially like an algorithm, and as the power increases the treatment is really quite similar.

[…] Integrating Trigonometric Function #1 Integrating Trigonometric Function #2 Integrating Trigonometric Function #3 Integrating Trigonometric Function #4 Integrating Trigonometric Function #5 […]

[…] How to derive the sum to produce formula 2. Integrating Trigonometric Functions (1) 3. Integrating Trigonometric Functions (2) 4. Integrating Trigonometric Functions (3) 5. […]

[…] Integrating Trigonometric Function #1 Integrating Trigonometric Function #2 Integrating Trigonometric Function #3 Integrating Trigonometric Function #4 Integrating Trigonometric Function #5 […]

[…] How to derive the sum to produce formula 2. Integrating Trigonometric Functions (1) 3. Integrating Trigonometric Functions (2) 4. Integrating Trigonometric Functions (3) 5. […]

[…] Integrating Trigonometric Functions (1) 2. Integrating Trigonometric Functions (2) 3. Integrating Trigonometric Functions (3) 4. […]