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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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2nd way: derivative (x^x)^x
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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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trig Write each expression as an equivalent algebraic expression involving only x.
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integral ∫ x dx withOUT using Power rule.
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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1st/2parts: Linear interpolation (2 given points)
Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c
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Ex11.6 STPM Math T Sem.2 Find the fir st 4 terms in the expansion of the following functions
2nd/3part: Maclaurin Series [ahp kia]
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2nd way: integral ∫1/(a + √√b (x^2)) dx
exp integral ∫a^(√√x^3)/√√x dx
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4 ways: sum Find the sum of the values of 4+3i for i=1,2,...,100
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3 ways: If y=x/(1+x^2) find dy/dx.
1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...
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COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))
2nd/2parts: Linear interpolation (2 given points)