Pure 2 Chapter 11 - Integration

G Bishop

1st Jul 2022 Flag Comment

Honestly, this proves how beautiful maths can truly be. From illustrations created by the Dr to long integral proofs. Maths simply is the best. Its Dr Frost's world, we're just living in it.

Mr G Davies

16th May 2022 Flag Comment

Working through the mock papers and the updated textbook, it appears that these slides do not reference the limit of a sum section now included (12L).


23rd Feb 2022 Flag Comment


J Doe

21st Dec 2021 Flag Comment


I Skilton

2nd Dec 2021 Flag Comment

Great page Dr Frost.


16th Sep 2021 Flag Comment

good content


16th Sep 2021 Flag Comment

very helpful

Dr R Henderson

10th Oct 2020 Flag Comment

Fantastic slides! Although on slide 24 (and I know you don’t actually want them to compute those integrals) the bottom two integrals are impossible with elementary functions..!

N Roberts

19th Sep 2020 Flag Comment

slide 15, should be 2tanx + 2secx - x + c

Mr J Cornick

18th Apr 2020 Flag Comment

Hi Dr F, On slide 51, the Trapezium rule given for n strips should start y0, y1 not y1, y2. Cheers, J

Ms K Brockway

11th Jun 2019 Flag Comment

Slide 56, in the example t hasn't been restricted so possibly shouldn't assume it's the positive root of 3? Although good exercise to sketch the graph and get them to see the potential problems!

Mr A Blackett

23rd Apr 2019 Flag Comment

Slide 59 (Exercise ?), Q3b the answer should be 58.9

Mr A Blackett

4th Apr 2019 Flag Comment

"Does k' really include the variable h in answer to question a) on page 67?" The notation used here is confusing (you have two different k's. The text book uses 'c' for the first constant. Also the constant k shouldn't have the 'h' as part of the square root. Also, it looks like c^3 x root(100pih) rather than c x cube root (100pih). I suggest adding a dot between the c and the cube root to avoid ambiguity. DF - I will email the updated slide so you know what i'm talking about!

Mr Celery

25th Mar 2019 Flag Comment

My classes all got 58.9 units sq in response to JS on 3b

Mr Celery

25th Mar 2019 Flag Comment

My classes all got 58.9 units squared

Mr A Elliott

25th Mar 2019 Flag Comment

Does k' really include the variable h in answer to question a) on page 67?


19th Mar 2019 Flag Comment

Does anyone else disagree with the answer to 3b on the parametric integration slide? There are no model solutions to check as this ecercise isn't even in the text book or on Active learn!

Dr J Frost

15th Feb 2019 Flag Comment

Reuploaded with minor fixes.

Mr A Blackett

12th Feb 2019 Flag Comment

J White 13th Jan, the slide is right. The extra x is just before the dx term. It is done this way because xdx = (1/2)du

Mr K Brewin

17th Jan 2019 Flag Comment

Slide 40 - should say 'integrate,' not differentiate?

J White

13th Jan 2019 Flag Comment

On slide 29 the equation includes x^3, but the solution answers it as if it's x^2.

Mr M Lang

11th Oct 2018 Flag Comment

Slide 19: Missing the constant term on the fourth problem.

Dr J Frost

6th Sep 2018 Flag Comment

Fixed. Thanks.


21st Jun 2018 Flag Comment

Your Slides are awesome, as always. Thank you! Integration is missing Parametric Integration (added at the last minute).


19th May 2018 Flag Comment

Slide 7: ∫1▒〖𝑐𝑜𝑠𝑒𝑐 𝑥 cot⁡𝑥 𝑑𝑥〗=𝑐𝑜𝑠𝑒𝑐 𝑥+𝐶 is incorrect

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