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1st/2ways: r-Permutations
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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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1st/2 ways: derivative y=(ln(x))^x
Always ZERO
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logic: contradiction p∧¬p
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UC Davis: 4 ways exp integral ∫7^(2x+3) dx
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1st/2ways: logic Import-Export
2nd way: derivative y=e^x sin(x) cos^3(x)
Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2
integrate ∫e^x (1+sin(x))/(1+cos(x)) dx
Commutativity of antecedents
Evaluate trig integral ∫ sin(lnx3)/x dx
Integrate ∫1/(x+xlog(x)) dx
[Azur Lane ⧸ MMD] Love Dancehall [Bunny Girl New Jersey & Shinano]
Dayo: Sa Mundo ng Elementalia (Tagalog Fantasy / Adventure Film) Philippines
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2 ways: trig integral ∫csc^2(x)/sec(x) dx
2nd way: integral ∫1/(6x^2+7x+2) dx
trig integral ∫7x sin(x^2) sin(4x^2) dx