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Doraemon new episode 19
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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2nd way: integral ∫ log √x(x^n) dx
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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]
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2 ways: ∫1/(x^2+2x-3) dx
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1st/2ways: logic Import-Export
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rational function integral x/(x-√(x^2-1)) dx
#3 2024 MIT Integration Bee Qualifying Exam
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2 ways: diff eq Solve dy/dx=y-1
logic: Show (p→r)∨(q→r) ≡ (p∧ q) →r
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UT Austin: integral ∫(1+sin^(x-1)) sin(x-1) cos(x-1) dx
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2010 Raytheon MATHCOUNTS National Competition
Learn Big and Small with Pip & Friends! 🐻 A Tiny Cushion… New Episode Thursday! | Kids Cartoon
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2nd way: derivative y^2=4a(x+a sin(x/a))
If ∫ 2^(1/x)/x^2 dx = a 2^(1/x) +C, then a is?
1st/3parts: "Exploding" dots game.
derivative y^2 = 4a(x+a sin(x/a))
2nd way: ∫1/(√(1-x^2)(1+arc sin(x))^2) dx
derivative 1/(f(x)-g(ae^(px+q)+b))^1/n