Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

Alternate way: exp derivative x^n

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Pantun Melayu [Sorong papan tarik papan]

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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Conversion: Permutation - Combination vice versa

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3 ways: Derivative x^(-1/x)

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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]

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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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2nd way: ∫(x+3)/(x^2+6x)^2 dx vs ∫(x+3)(x^2+6x)^2 dx

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Pascal's triangle nth triangular number [examples]

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"baby" fact: exp e^(ix)

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2nd way: ∫e^x/(e^2x + 2e^x +5) dx

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2nd way: derivative ∫log (f(x))^g(x) (p(x))^r(x)

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1st/3ways: exp Derivative x^x

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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2nd way: trig integral ∫1/(cos^2(x) - sin^2(x)) dx

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