Find 1) E(X) 2) E(3X) 3) E(3x+2)

1st/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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If 4xe^(xy)=y+5sin^2(x) then find the value of y'(0)

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2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".

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3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx

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1st/parts: Derivative of the inverse circular functions

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Alternate way: integral ∫ax+b dx

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2 ways: integral ∫(x^3+2x)/(x-1) dx

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Practice STPM Math Sem2 derivative

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4th/4ways: trig derivative sin(x)

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COMMON MISTAKE: derivative (x)' 1/2 x^(-1/2)

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2nd way: integral ∫1/(a + √√b (x^2)) dx

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count comb Show (n-r)* nCr = n * (n-1)Cr

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trig integral ∫3e^(2x)/(1+e^(4x)) dx

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1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...

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2 ways: trig derivative log(sec(x/2)+tan(x/2))

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