Scroll to see replies
Spoiler
Spoiler
\begin{array}{rl}[br]I+J & \displaystyle = \int_0^a \frac{\sin x + \cos x}{\sin x + \cos x} \, dx \\ \br \\[br]& \displaystyle = \int_0^a 1 \, dx \\ \br \\[br]& \displaystyle = \left[ x \right]_0^a = a \end{array}
\begin{array}{rl}[br]I-J & \displaystyle = \int_0^a \frac{\cos x - \sin x}{\sin x + \cos x} \, dx \\ \br \\[br]& \displaystyle = \left[ \ln (\sin x + \cos x) \right]_0^a \\ \br \\[br]& \displaystyle = \ln (\sin a + \cos a)\end{array}
(i)
(ii)
??????????
\displaystyle \int_{\pi/6}^{\pi/4} \frac{1}{1-\cos{\2\theta}} \,\mathrm{d}\theta =
\displaystyle = \int_0^l \alpha Wl^{-1}(x/l)^{\alpha-1}x\,\mathrm{d}x = \alphaWl^{-\alpha}\int_0^l x^\alpha \,\mathrm{d}x
Q \~ B(L,z)
\displaystyle Q' \~ N(Lz,Lz(1-z))
\displaystyle q = P(Q>l) \approx 1 - \Phi\left(\frac{(l-\frac{1}{2})-Lz}{\sqrtLz(1-z)}\right) = \Phi\left(\frac{2Lz-2l+1}{2\sqrt{Lz(1-z)}}\right) \approx \Phi\left(\frac{2Lz-2l+1}{2\sqrt{Lz}}\right)
\displaystyle[br]y^2 = \left\{ \begin{array}{ll}[br]1 - (x + \frac{1}{2})^2 & \mathrm{if} ~| y | \le 1\\[br] & \\[br]1 + (x + \frac{1}{2})^2 & \mathrm{if} ~| y | > 1\\[br]\end{array}[br]
\displaystyle[br]y^2 = \left\{ \begin{array}{ll}[br]1 - (x - \frac{1}{2})^2 & \mathrm{if} ~| y | \le 1\\[br] & \\[br]1 + (x - \frac{1}{2})^2 & \mathrm{if} ~| y | > 1\\[br]\end{array}[br]
Last reply 1 minute ago
What do you like most about having a Grow your Grades blog?Last reply 3 minutes ago
Official: Queen's University Belfast A100 2024 Entry ApplicantsLast reply 5 minutes ago
Official UCL Offer Holders Thread for 2024 entryLast reply 7 minutes ago
Medical Degree Doctor ApprenticeshipLast reply 7 minutes ago
Official University College London Applicant Thread for 2024Last reply 7 minutes ago
Vodafone Cyber Security Degree Apprenticeship 2024Last reply 7 minutes ago
Economics and Economic History 2024 ThreadLast reply 8 minutes ago
Can someone help me with marking? GCSE AQA English LiteratureLast reply 8 minutes ago
Government Social Research - Research Officer Scheme 2024Last reply 15 minutes ago
Should I send TMUA to LSE? (Maths, Stats and Business)Last reply 15 minutes ago
year 13 gyg journal : trying not to become an academic victim 🤡📖Last reply 16 minutes ago
Official London School of Economics and Political Science 2024 Applicant ThreadLast reply 5 hours ago
Edexcel IGCSE Higher tier Mathematics A Paper 1 1H (4MA1) - 8th November 2023Last reply 1 month ago
Edexcel GCSE Mathematics Paper 3 (1MA1 3) - 13th November 2023 [Exam Chat]Last reply 1 month ago
Edexcel GCSE Statistics Paper 1 Higher Tier (1ST0 1H) - 12th June 2023 [Exam Chat]284
Last reply 1 month ago
Edexcel A Level Mathematics Paper 1 (9MA0 01) - 6th June 2023 [Exam Chat]2960
Last reply 1 month ago
AQA A Level Mathematics Paper 1 (7357/1) - 6th June 2023 [Exam Chat]352
Last reply 1 month ago
Edexcel GCSE Mathematics Paper 2 (1MA1 2) - 10th November 2023 [Exam Chat]Last reply 1 month ago
Edexcel A-level Mathematics Paper 1 [6th June 2023] Unofficial Markscheme156
Last reply 2 months ago
Edexcel GCSE Mathematics Paper 1 (1MA1 1) - 8th November 2023 [Exam Chat]Last reply 3 months ago
Edexcel IGCSE Higher tier Mathematics A Paper 1 1H (4MA1) - 19th May 2023 [Exam Chat]232
Last reply 3 months ago
AQA GCSE Mathematics Paper 3 (Higher) 8300/3H - 14th June 2023 [ Exam Chat]247
Last reply 5 months ago
Edexcel IGCSE Higher tier Mathematics A Paper 2 2H (4MA1) - 10th November 2023Last reply 7 months ago
OCR A-level Mathematics A Paper 3 (H240/03) - 20th June 2023 [Exam Chat]169
Last reply 7 months ago
AQA Level 2 Further Maths 2023 Paper 1 (8365/1) & Paper 2 (8365/2) [Exam Chat]489
Last reply 7 months ago
Edexcel A Level Mathematics Paper 3 (9MA0 03) - 20th June 2023 [Exam Chat]1836
Last reply 7 months ago
AQA A Level Mathematics Paper 3 (7357/3) - 20th June 2023 [Exam Chat]307
Last reply 8 months ago
OCR A-level Mathematics B Paper 3 (H640/03) - 20th June 2023 [Exam Chat]132
Last reply 9 months ago
Edexcel A-level Further Mathematics Paper 1 (9FM0 01) - 25th May 2023 [Exam Chat]902
Last reply 10 months ago
Edexcel A Level Mathematics Paper 2 (9MA0 02) - 13th June 2023 [Exam Chat]2708
Last reply 5 hours ago
Edexcel IGCSE Higher tier Mathematics A Paper 1 1H (4MA1) - 8th November 2023Last reply 1 month ago
Edexcel GCSE Mathematics Paper 3 (1MA1 3) - 13th November 2023 [Exam Chat]Last reply 1 month ago
Edexcel GCSE Statistics Paper 1 Higher Tier (1ST0 1H) - 12th June 2023 [Exam Chat]284
Last reply 1 month ago
Edexcel A Level Mathematics Paper 1 (9MA0 01) - 6th June 2023 [Exam Chat]2960
Last reply 1 month ago
AQA A Level Mathematics Paper 1 (7357/1) - 6th June 2023 [Exam Chat]352
Last reply 1 month ago
Edexcel GCSE Mathematics Paper 2 (1MA1 2) - 10th November 2023 [Exam Chat]Last reply 1 month ago
Edexcel A-level Mathematics Paper 1 [6th June 2023] Unofficial Markscheme156
Last reply 2 months ago
Edexcel GCSE Mathematics Paper 1 (1MA1 1) - 8th November 2023 [Exam Chat]Last reply 3 months ago
Edexcel IGCSE Higher tier Mathematics A Paper 1 1H (4MA1) - 19th May 2023 [Exam Chat]232
Last reply 3 months ago
AQA GCSE Mathematics Paper 3 (Higher) 8300/3H - 14th June 2023 [ Exam Chat]247
Last reply 5 months ago
Edexcel IGCSE Higher tier Mathematics A Paper 2 2H (4MA1) - 10th November 2023Last reply 7 months ago
OCR A-level Mathematics A Paper 3 (H240/03) - 20th June 2023 [Exam Chat]169
Last reply 7 months ago
AQA Level 2 Further Maths 2023 Paper 1 (8365/1) & Paper 2 (8365/2) [Exam Chat]489
Last reply 7 months ago
Edexcel A Level Mathematics Paper 3 (9MA0 03) - 20th June 2023 [Exam Chat]1836
Last reply 7 months ago
AQA A Level Mathematics Paper 3 (7357/3) - 20th June 2023 [Exam Chat]307
Last reply 8 months ago
OCR A-level Mathematics B Paper 3 (H640/03) - 20th June 2023 [Exam Chat]132
Last reply 9 months ago
Edexcel A-level Further Mathematics Paper 1 (9FM0 01) - 25th May 2023 [Exam Chat]902
Last reply 10 months ago
Edexcel A Level Mathematics Paper 2 (9MA0 02) - 13th June 2023 [Exam Chat]2708