Diff Equ: Solve y-xdy/dx=b(1+x^2dy/dx)) via integrating factor [IF]

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

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

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

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2nd way: derivative (x^x)^x

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Pantun Melayu [Buah cempedak di luar pagar]

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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prob stat: The prob. that it will snow tomorrow is 0.75.

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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

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

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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]

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integral exp ∫e^(mx)/(x^n) dx via Reduction formula

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UC Davis #14: trig integral ∫(sin(x)-cos(x))(sin(x)+cos(x))^5 dx

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Screen Recording 2024-05-19 at 11.13.23 PM

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trig integral ∫1/(1+cos(ax+b)) dx

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Alternate way: trig integral ∫cos(x) dx

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STPM Math T: trig double angle Express cos(2x) & sin(2x) in terms of tan(x)

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Screen Recording 2024-05-19 at 9.45.17 PM

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"baby" fact: exp even odd e^x

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I MADE FRIENDS WITH THE PRETTIEST GIRL IN MY CLASS, EPISODE 2

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2 ways: integral ∫x/(x+a) dx

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