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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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integral ∫ x dx withOUT using Power rule.
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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule
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trig integral cos^2(x) sin(x) dx
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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)
prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
trig Show these identities ...
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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]
Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub
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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number
prob stat: Show if y=ax+b where a & b are constants then ȳ = ax̄ + b
2 ways: diff eq Solve dy/dx=y-1
Unidentified Object?