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Columbia U: 2nd way Evaluate the indefinite integral ∫1/(1+e^x) dx
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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2 ways: exp derivative a^(logb(cos(px+q))
2nd way: derivative x w.r.t x^x. [YES, d(x)/d(x^x)!]
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Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt
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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx
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derivative x^n vs n^x vs x^x
practice
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Super Domkan "Light side" "Cutting + Speed + Power + Gameness" - 2024 FIGBA 8-Stag Derby winner
2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx
Pure "Fantastic" Dome - Unscratched - "Cutting + Speed"- 2024 FIGBA 8-Stag Derby winner
UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]
Calculus: Find nth derivative of sin(ax+b)
Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)
stat: SLR Properties of residuals
1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)
prob stat The prob of events A & B are P(A) & P(B) respectively P(A)=5/12, P(A n B)=1/6, P(AuB)=q.
2 ways: derivative x √√x
A bag contains 5 red balls & 3 green balls. A ball is selected at random &
Lamar U: #13 trig integral ∫(2+7sin^3(x))/cos^2(x) dx