integration questions from ruse 04 trial paper (1 Viewer)

[h3ll h0und]

i was looking through ruse 04 trial paper for HMX1 and i got stuck with some of the integration questions.

 

[Trebla]

For the first one, just expand and integrate as usual.
For the second one, split the numerator you get two expressions. The first one can be integrated by substitution/reverse chain rule and the second one is just a standard integral.

 

[jet]

 

[clintmyster]

I thought this was 4u it looked pretty straightforward but for 3u your given the u-sub right so you don't need to worry so much for the second one right?

 

[kwabon]

I thought this was 4u it looked pretty straightforward but for 3u your given the u-sub right so you don't need to worry so much for the second one right?

lol, they give the u-sub?

damn.

 

[h3ll h0und]

ah k... i still dont noe how to expand to the power of 4 >.< i was trying to do by substitution.

 

[ninetypercent]

pascal's triangle
or binomial theorem

 

[h3ll h0und]

unfortunately i havnt learnt those yet. is that a year 11 or year 12 topic?

 

[lychnobity]

unfortunately i havnt learnt those yet. is that a year 11 or year 12 topic?

yr 12

or, you can just expand it the long way

 

[untouchablecuz]

ah k... i still dont noe how to expand to the power of 4 >.< i was trying to do by substitution.

 

[lychnobity]

-___-"

How did you get to the reduction formula so quickly? Or did you know it off by heart?

 

[untouchablecuz]

cambridge

 

[untouchablecuz]

btw

dont mean to be a hassle, but did you get a chance to look at the thing i sent you

 

[h3ll h0und]

ru talking to me or lych?

 

[jet]

If you're struggling with the idea of binomial expansions, you can treat the expansion like this: (this is how I first did it before knowing binomial)


Thus, you're just using the simple perfect squares expansion that you learnt in 5.3.

Funnily enough, it is also a binomial expansion, but you don't need to treat it that way.

 

[h3ll h0und]

If you're struggling with the idea of binomial expansions, you can treat the expansion like this: (this is how I first did it before knowing binomial)


Thus, you're just using the simple perfect squares expansion that you learnt in 5.3.

Funnily enough, it is also a binomial expansion, but you don't need to treat it that way.

wow thnx this makes it so much simpler =D

 

[cutemouse]

Just use the binomial theorem. Much nicer and less mucking around.

 

[jet]

They don't know it yet, that's why I showed them an alternative.