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Will the real TeeEm please stand up!

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Original post by TeeEm
OK
This one will hurt like hell
It is a new one so it does not appear into any of my books/papers

solution tomorrow


asdfghjhgfds
I'm wasting too much time on this, I'm going to go revise some D1 and C3. I'll try again tomorrow :colonhash:

I've tried by parts with ∫(3sinx+4cosx)(2sinx−cosx)−1\displaystyle\int (3sinx+4cosx)(2sinx-cosx)^{-1}
But I hit a dead end :lolwut:

Next I tried this (see attached), can't manage to integrate ∫sinx2sinx−cosx\displaystyle\int \dfrac{sinx}{2sinx-cosx} though.

I'll try again tomorrow :curious:
(edited 8 years ago)
KGiSO9sc.jpg66.6KB
Reply 221
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Original post by edothero
asdfghjhgfds
I'm wasting too much time on this, I'm going to go revise some D1 and C3. I'll try again tomorrow :colonhash:

I've tried by parts with ∫(3sinx+4cosx)(2sinx−cosx)−1\displaystyle\int (3sinx+4cosx)(2sinx-cosx)^{-1}
But I hit a dead end :lolwut:

Next I tried this (see attached), can't manage to integrate ∫sinx2sinx−cosx\displaystyle\int \dfrac{sinx}{2sinx-cosx} though.

I'll try again tomorrow :curious:


I told you it will hurt ...


you need 72.jpg for this
Original post by TeeEm
I told you it will hurt ...


you need 72.jpg for this


solution?
Reply 223
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Original post by xyzmaster
solution?


tonight
teaching now
Original post by TeeEm
tonight
teaching now


But it's sunday bro!

How can you be teaching on a sunday? Sunday should be spent chillaxing and stuff

Posted from TSR Mobile
Original post by it's a me, mario
But it's sunday bro!

How can you be teaching on a sunday? Sunday should be spent chillaxing and stuff

Posted from TSR Mobile


No rest for the wicked....? :evilbanana:
(edited 8 years ago)
Reply 226
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Original post by xyzmaster
solution?


here is the integral and its solution
Document1.pdf99.1KB
Reply 227
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another tough integral

solution tomorrow evening
Document1.pdf8.1KB
Reply 228
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solution of the integral from the previous post (228)
Document1 with solution.pdf543.1KB
Reply 229
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http://www.thestudentroom.co.uk/showthread.php?t=3353445 (post 2)

and papers at
http://www.thestudentroom.co.uk/showthread.php?t=3361867
http://www.thestudentroom.co.uk/showthread.php?t=3361905
(edited 8 years ago)
Original post by TeeEm


Out of interest, are you working on an unofficial M2 Edexcel mark scheme?
Reply 231
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Original post by Quantaˌ
Out of interest, are you working on an unofficial M2 Edexcel mark scheme?


I am afraid I am not ...
I am working on some disgusting integration at the moment ...
Original post by TeeEm
I am afraid I am not ...
I am working on some disgusting integration at the moment ...


Ah, no problem. I was just wondering whether anyone is. You wouldn't have any idea, would you? I'm just trying to work out a rough mark/UMS score. But, thanks anyway!
Reply 233
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Original post by Quantaˌ
Ah, no problem. I was just wondering whether anyone is. You wouldn't have any idea, would you? I'm just trying to work out a rough mark/UMS score. But, thanks anyway!


I do not even have the paper ...
Original post by TeeEm
I do not even have the paper ...


Ah, I see. No problem. Thanks for the help!
Reply 235
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In the following links there are resources for C3/C4 ALL BOARDS

FUNCTIONS
http://madasmaths.com/archive/maths_booklets/standard_topics/various/function_exam_questions.pdf

EXPONENTIALS
http://madasmaths.com/archive/maths_booklets/standard_topics/various/exponentials_logarithms_exam_questions.pdf

TRIGONOMETRY
http://madasmaths.com/archive/maths_booklets/standard_topics/trigonometry/trigonometry_exam_questions.pdf

INVERSE TRIGONOMETRIC FUNCTIONS
http://madasmaths.com/archive/maths_booklets/standard_topics/trigonometry/trigonometric_inverse_functions.pdf

DIFFERENTIATION
http://madasmaths.com/archive/maths_booklets/standard_topics/various/differentiation_ii_exam_questions.pdf

MODULUS
http://madasmaths.com/archive/maths_booklets/standard_topics/various/modulus_function_exam_questions.pdf

NUMERICAL SOLUTIONS OF EQUATIONS
http://madasmaths.com/archive/maths_booklets/standard_topics/various/numerical_solutions_of_equations.pdf

BINOMIAL EXPANSIONS
http://madasmaths.com/archive/maths_booklets/standard_topics/various/binomial_series_expansions_exam_questions.pdf

IMPLICIT EQUATIONS
http://madasmaths.com/archive/maths_booklets/standard_topics/various/implicit_equations_exam_questions.pdf

RELATED RATES OF CHANGE
http://madasmaths.com/archive/maths_booklets/standard_topics/various/related_rates_of_change.pdf

PARAMETRIC EQUATIONS (no integration here)
http://madasmaths.com/archive/maths_booklets/standard_topics/various/parametric_equations_exam_questions.pdf

INTEGRATION
http://madasmaths.com/archive/maths_booklets/standard_topics/integration/integration_structured_exam_questions_part_i.pdf

PARAMETRIC INTEGRATION
http://madasmaths.com/archive/maths_booklets/standard_topics/integration/parametric_integration_exam_questions.pdf

VOLUME OF REVOLUTION
http://madasmaths.com/archive/maths_booklets/standard_topics/integration/integration_volume_of_revolution.pdf

DIFFERENTIAL EQUATIONS
http://madasmaths.com/archive/maths_booklets/standard_topics/integration/odes_context_modelling.pdf

VECTORS
http://madasmaths.com/archive/maths_booklets/further_topics/linear_algebra/vector_exam_questions_part_a.pdf
Reply 236
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DEFINITE INTEGRATION FILE WITH ANSWERS SUITABLE FOR EDEXCEL C4

(I will try to post full solutions before the exam on Tuesday)
DEFINITE INTEGRATION A2 (without solutions).pdf70.2KB
Reply 237
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I did solutions to some integrals today which will be added in various places in my resources.
I have no time to format them right now, but I will upload solutions as soon as I format.
They are suitable for further mathematicians and STEPers
Document2.pdf19.9KB
Hi, would this get the marks for question 7 in C3 U?

1434046880675.jpg

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Original post by aersh8
Hi, would this get the marks for question 7 in C3 U?

1434046880675.jpg

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I have not written marking schemes (and not intending to) for my papers as the full solutions suffice ...
Thus I probably I might have given 2 or 3 out of 4 for this attempt, as this only proves the result for "acute angles" only.

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