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2nd/3part: Maclaurin Series [ahp kia]
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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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2nd way: integral ∫ log √x(x^n) dx
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2 ways: derivative logb(x)
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2 ways: sq root derivative 1/(√√(1/√x))
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prob stat: A die with 4 red faces & 2 green faces is rolled twice.
Lamar U: implicit derivative Find y' for ...
1st/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)
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#17 2022 MIT Integration Bee Qualifying Exam
Find f'(x) in terms of g'(x)
1st/2 ways: MIT Integration Bee
prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85
Alternate way: integral ∫ax+b dx
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logic: Show p→q ≡¬ p∨q
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Screen Recording 2024-02-22 at 10.13.28 PM
AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]
multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
2nd way: sq rt integral ∫(√x)/(x+1) dx