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#1
Had fun discussing integrals with you lot yesterday. Lets all post some more and restrict the discussion to this thread.

I'll start

Find a reduction formula.
1
4 years ago
#2
(Original post by Louisb19)
Had fun discussing integrals with you lot yesterday. Lets all post some more and restrict the discussion to this thread.

I'll start

Find a reduction formula.
I had to cheat, as it's easy enough to integrate directlym via a substitution. Having found the integral, I then construct a reduction formula.

Spoiler:
Show

1
#3
(Original post by ghostwalker)
I had to cheat, as it's easy enough to integrate directlym via a substitution. Having found the integral, I then construct a reduction formula.
Spoiler:
Show

Feel free to contribute your own integral question if you have one. I'm bored
0
4 years ago
#4
(Original post by Louisb19)
Feel free to contribute your own integral question if you have one. I'm bored

In a similar vein (and easier IMHO):

.
2
4 years ago
#5
Also, if you want to feel inadequate, have a look at: http://math.stackexchange.com/users/97378/cleo
9
4 years ago
#6
(Original post by DFranklin)
Also, if you want to feel inadequate, have a look at: http://math.stackexchange.com/users/97378/cleo
I feel out of depth with the level of some people on here. Then I go on SE and wonder why I even bother.
7
4 years ago
#7
I feel like these integrals would be best suited to: http://www.thestudentroom.co.uk/show....php?t=2313384
2
4 years ago
#8
I posted this before (can't remember if it was on this site or elsewhere) either way if you haven't seen it before it is quite a cool one.

.
0
#9
(Original post by DFranklin)

In a similar vein (and easier IMHO):

.
I think I've got the first one.

The question is right?
0
4 years ago
#10
Subbing. Let's integrate

From one of the trinity pre interview tests: integrate 1/(x + root(1-x^2))

Posted from TSR Mobile
0
4 years ago
#11

that was my FP2 prep a few days ago lol
1
4 years ago
#12
(Original post by poorform)
I posted this before (can't remember if it was on this site or elsewhere) either way if you haven't seen it before it is quite a cool one.

.
I feel like there should be a nicer expression but I'm tired and broken by assignments
Spoiler:
Show
Is it n!(x - ln(the denominator in that integral))
0
4 years ago
#13
Integrate [3cosxsin(^2)x]
0
4 years ago
#14
A little messy, but ya'll might like it:
.

(Original post by Louisb19)
I think I've got the first one.

The question is right?
The two are often used interchangeably beyond A-Level, though to be fair, even if it were or for that matter any other base it's just a constant scaling.
0
4 years ago
#15
Here's an easy one, which is more theory than fancy tricks:

Let

Show that
0
#16
(Original post by DFranklin)

In a similar vein (and easier IMHO):

.
Ahh I don't have this one, care to give me a hint?
0
4 years ago
#17
(Original post by Mihael_Keehl)
Integrate [3cosxsin(^2)x]
Was that in an FP2 paper.. June 2015 perhaps?

By recognition - sin^3(x)
0
4 years ago
#18
(Original post by SeanFM)
Was that in an FP2 paper.. June 2015 perhaps?

By recognition - sin^3(x)
Pretty sure it was. Bit harsh that that paper was 71 for an A* lol
1
4 years ago
#19
(Original post by joostan)
A little messy, but ya'll might like it:
.
Spoiler:
Show
I'm too tired to do all of the work, but I wrote:

which after some easy algebra gives:

and from thence it's partial fractions, I guess.

The two are often used interchangeably beyond A-Level, though to be fair, even if it were or for that matter any other base it's just a constant scaling.
log is used in confusingly different ways between mathematics, engineering and physics to mean both log_10 and log_e. It's a bit of a mess.
0
#20
(Original post by 13 1 20 8 42)
Pretty sure it was. Bit harsh that that paper was 71 for an A* lol
I did it a while ago and it seemed to be one of the easiest FP2 papers to date.
0
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