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Example: Find the sum
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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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Pantun Melayu [Sorong papan tarik papan]
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Alternate way: exp derivative x^n
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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c
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2nd part: STPM Math T Sem.2: 12.1 Numerical solution of Equations
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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.
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3 ways: If y=x/(1+x^2) find dy/dx.
trig integral ∫1/(√sin(x) √cos^7(x)) dx
2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median
rational function Find the derivative of f(x)=(4x^2+7)/x
Pure Math: Calculate the coordinates of the two points on the curve
2nd/2ways: Taylor series of sin(x) [Maclaurin's series]
prob stat The members of an orchestra were asked how many instruments each could play.
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2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)
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1st/2ways: Taylor series of sin(x)
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UT Austin: trig integral ∫(1/x^2) sin(1/x) cos(1/x) dx
radical function sq root Find the derivative of f(x) = √(x+1)