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Example: Find the sum
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2nd way: integral ∫ log √x(x^n) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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Pantun Melayu [Sorong papan tarik papan]
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logic Idempotent law show x=xVx
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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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Bijection of elements in tn & a pair of elements of (n+1)
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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c
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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)
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Why the mean of AP is the median of AP? mean=median?
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Find the median of 4,6,8,...,296
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derivative a^(f(x)g(x))^h(x)
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2 ways: derivative a^f(g(x))
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trig integral ∫1/(1+cos(ax+b)) dx
2nd way: derivative x^n w.r.t x^x
Alternate: trig integral ∫sec(x) dx withOUT explicit partial fraction
Lamar U: Use log. differentiation to find the 1st derivative of the given function
2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx