Oh I see, thank you. how do you know when it is appropriate to expand and then integrate, and when to integrate by parts/substitution?
When it's easier expand and integrate using add 1 to power and divide by new power rule. If the highest power is 2 of a composite function, then it'd probably be easier to expand, but if there were higher powers then use IBP. With a lot of practise, it becomes a bit more obvious.
I usually consider integration by recognition and then using a u - sub and then by parts.
Oh I see, thank you. how do you know when it is appropriate to expand and then integrate, and when to integrate by parts/substitution?
I think there are other methods for doing that question that are much simpler- if you do u and dv/dx the other way around in the first stage you only have to do integration by parts once, and no expanding brackets is needed.
When it's easier expand and integrate using add 1 to power and divide by new power rule. If the highest power is 2 of a composite function, then it'd probably be easier to expand, but if there were higher powers then use IBP. With a lot of practise, it becomes a bit more obvious.
I usually consider integration by recognition and then using a u - sub and then by parts.
Thats really helpful, thank you (it wont let me upvote you tho :/)
Thats really helpful, thank you (it wont let me upvote you tho :/)
No worries as the poster above said, swapping the u and dv would make it easier, but it's good practice to try a number of methods, then you'll quickly notice the which method to use in the future.