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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]
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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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logic: tautology (¬p→q)∧(¬p→¬q) →p
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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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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule
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1st/2ways: r-Permutations
2 ways: diff eq Solve dy/dx=y-1
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1st/2 ways: derivative y=(ln(x))^x
1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)
#16 MIT 2022 Integration Bee Qualifying Exam
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logic: contradiction p∧¬p
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sq root integral ∫1/√...√√x dx with n √
2nd way: derivative (a-bx)^(px-q)
Show Σ(a+bk) = (a+1/2bn)(n+1)
1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)
AP Calculus 2nd way: trig integral ∫sin^2(x) cos^2(x) dx
trig integral cos^2(x) sin(x) dx
2nd way: derivative y=e^x sin(x) cos^3(x)
Always ZERO