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1st/3parts: Checkpoint 1.1 STPM Math T Sem2
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5 ways: trig derivative tan(x).
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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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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
prob stat: 2 formula for sample variance
JEE Main integral x^2/(a+bx)^2 dx
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1st/10 parts: Logical disjunction
Find the power set of X if a) X= {a,b} b) X={a,b,c}
UC Davis#4 4 ways: integrate 7^(2x+3) dx
Find the number of digits in mole [6.02x10^23]
trig integral ∫sin^(-2/3)(x) cos^3(x) dx
3 ways: trig integral ∫sin([118]) cos([118]) d[118]
Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2
prob stat: Show if y=ax+b where a & b are constants then ȳ = ax̄ + b
2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'
2nd/2ways: [k map] logic Simplify the Boolean function F=AB+BC+B'C