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1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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logic Idempotent law show x=xVx
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2nd/3ways: trig integral ∫sec(x) dx
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Review: Linear form, Quadratic form & Bilinear form
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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trig Write each expression as an equivalent algebraic expression involving only x.
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2nd/3part: Maclaurin Series [ahp kia]
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integral ∫√(x-a)/x dx
Alternate way: trig integral ∫sin(x) dx
4th way: rational function integral ∫x^3/√ (1+x^2) dx
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2 ways: sq root √x^x
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Alternate way: trig integral ∫cos(x) dx
2 ways: trig integral ∫tan(x)/sec^5(x) dx
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1st/3ways: trig integral ∫sec(x) dx
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2nd/4ways: trig derivative sin(x)
Alternate way: trig integral ∫sin(x) cos(x) cos^7(2x) dx ... Just in 1 line.
integral ∫(2x+3)/(4x^2+1) dx
Derivative d/dx(x^x) NOT equal ...