1st way: trig show sin(2x)=2tan(x)/(1+tan^2(x))=2cot(x)/(1+cot^2(x))

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

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

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My dad has a son.. Never mind, he's not worthy.

xingzoudeshuibeiqaq

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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trig Write each expression as an equivalent algebraic expression involving only x.

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CMU: Find these integrals (a)-(b)

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Screen Recording 2024-02-16 at 8.23.14 PM

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trig Show sec^4(x)-tan^4(x) = sec^2(x)+tan^2(x)

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Anime Recommended Trees and Forests

gagagadaya

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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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Waguri Mode Brutal 🥵🥵

Last_HERO

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

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

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2nd Alt. way: log Taylor series of ln(sec(x)) withOUT Taylor series explicitly

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trig integral ∫sec^2(x)/tan(x) dx vs ∫tan(x)/sec^2(x) dx

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3 ways: derivative e^y=x

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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1st/4 ways: integral ∫1/(x + √x) dx

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If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0

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2nd/2 parts: sum Find the sum 2,3,14,24,37,... nth term

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