Astronomer_X
New member
- Joined
- Mar 2, 2019
- Messages
- 9
Hi! Today in class we were learning how to integrate f(ax+b). Most of the exercise has been fine, and I understand all the standard function rules from differentiation. However:
My text book outlined this method of integrating a function in the form of (ax+b)n (Look at Question B, the second one explained):
So far, I understood the premise well; it's similar to the basic integration I learnt last year, but we do not divide by (n+1) after raising the power. Fine. I then tried to apply it to this question:
As you can see, I followed the same logic to be applied. However, this is what the solution/answer actually is:
I can see that they expanded the equation first, but should the same method as outlined in the example not work as well? If so, why/why not? Because imagine if the question I failed at was raised to the power of 3, or 4 or 5- expanding that first would be ridiculously time consuming. Did I just not apply the chain rule right?
My text book outlined this method of integrating a function in the form of (ax+b)n (Look at Question B, the second one explained):
So far, I understood the premise well; it's similar to the basic integration I learnt last year, but we do not divide by (n+1) after raising the power. Fine. I then tried to apply it to this question:
As you can see, I followed the same logic to be applied. However, this is what the solution/answer actually is:
I can see that they expanded the equation first, but should the same method as outlined in the example not work as well? If so, why/why not? Because imagine if the question I failed at was raised to the power of 3, or 4 or 5- expanding that first would be ridiculously time consuming. Did I just not apply the chain rule right?