1st way: If x^y+ y^x=2 then find dy/dx

2nd way: rational function integral ∫x^3/√ (1+x^2) dx

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integral ∫ x dx withOUT using Power rule.

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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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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sq root derivative √x [Good to know the result]

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4th way: rational function integral ∫x^3/√ (1+x^2) dx

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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Determine the equation of the normal drawn to the astroid ...

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3rd/10parts: Exclusive disjunction

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2nd/2ways: count perm Show P(n,2)+P(n,1)=n^2

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2nd/4ways: trig derivative sin(x)

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Review count Common mistake Rearrangement LOOT=4!/2 vs LULL NOT = 4!/3

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Find the Maclurin series for (2x+3)(5x-4)

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Sum/Difference of 2 EVEN function is EVEN

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sq root log derivative √ ln(f(x))

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