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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Screen Recording 2024-05-05 at 11.28.23 PM
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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integral ∫ x dx withOUT using Power rule.
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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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Review Add Math: 1.2/parts: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers
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COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))
Screen Recording 2024-02-16 at 8.34.08 PM
Quickie: Find the value of √((470+160)(470-160) +2560)
1st/4 ways: integral ∫1/(x + √x) dx
exp integral ∫10^x e^(10x) dx
3 ways: Find the first 3 terms of Maclaurin series for sin^2(x)
trig integral ∫sec^2(x)/tan(x) dx vs ∫tan(x)/sec^2(x) dx
If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0
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4th/4parts: Maclaurin Series [ahp kia]
2nd way: derivative (a-bx)^(px-q)
2nd way: integral ∫log(x^p x^(-q)) (x) dx
3rd way: rational function integral ∫x^3/√ (1+x^2) dx
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