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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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logic Idempotent law show x=xVx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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2nd way: derivative (x^x)√ x
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Find the expected value & the variance of a geometric r.v. X
Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx
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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub
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2nd way: ∫1/(√(x-α)(x-β)) dx
Bijection of elements in tn & a pair of elements of (n+1)
#6 2010 MIT Integration Bee Qualifying Exam
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
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9Screen Recording 2023-12-02 at 2.43.56 AM
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Alternate way: ∫(5+2x)/(x+x^4)dx
UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...
Find the area via Pick's Theorem