#20 2020 MIT integration Bee Quali Exam: integral ∫1/(1+cos^2(x)) dx

AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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2nd way: integral ∫ log √x(x^n) dx

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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logic Idempotent law show x=xVx

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2nd/3ways: trig integral ∫sec(x) dx

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There are 2 lines. One line has 3 points & the other line has 6 points.

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Why the mean of AP is the median of AP? mean=median?

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trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula

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4 ways: trig integral ∫tan(x) dx

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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#6 2024 MIT Integration Bee Qualifying Exam

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UC Davis p#12: 2nd way differentiate y=x^(x^(x^4)))

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2nd way: trig integral (3-tan^2(x))/(cot(x)-3tan(x)) dx

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#4 2022 1st/2 ways: MIT Integration Bee Qualifying Exam

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Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

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prob stat: 10 people have a potluck. 5 peoplle will be selected to bring a main dish,

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2nd way: trig integral ∫cos(x)/(sin^2(x) + 4sin(x)+3) dx

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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx

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integral (a-x)/(b-x) dx

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