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Evaluate the integrals
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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count quick review: Permutation vs Combination
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
Conversion: Permutation - Combination vice versa
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logic: De Morgan's Law
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3 ways: sum Show 1+3+5+...nth term = n^2
exp integral e^x (f(x) + f'(x)) dx
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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule
Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]
(Reflection) Tuesday, September 23, 2025 Memorial of Saint Pius of Pietrelcina, Priest #faith #refle
1st/2ways: r-Permutations
Show log b^n(x^m) = m/n logb(x)
Always ZERO
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2 ways: diff eq Solve dy/dx=y-1
1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)