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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]
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2nd/3ways: trig integral ∫sec(x) dx
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example: Mean, Median & Mode
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n
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Pure Math: Calculate the coordinates of the two points on the curve
Alternate way: exp derivative x^n
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prob stat: 2 formula for sample variance
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Tongue 𝙙𝙚𝙫𝙞𝙖𝙩𝙞𝙤𝙣 𝙖𝙣𝙜𝙡𝙚 as the warning sign of a 🆂🆃🆁🅾🅺🅴
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Solve x(x-1)dy/dx - (x-2)y=x^3(2x-1) via Integrating Facto[IF]
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1st/2 ways[Direct]: Prove that the sum of 2 ODD numbers is ALWAYS EVEN
Show log b^n(x^m) = m/n logb(x)
1st/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)
#16 MIT 2022 Integration Bee Qualifying Exam
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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2
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STPM Math T Sem.2: 12.1 Numerical solution of Equations
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2 ways: diff eq Solve dy/dx-x^2=0
3 ways: derivative a^(f(x)g(x))