1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx

example: Mean, Median & Mode

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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Review: Multiplying each obs. by a CONSTANT results in new variance =

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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GPT4: A tweet snippet from Michal Kosinski

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#6 2010 MIT Integration Bee Qualifying Exam

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5 ways: trig Derivative of sin^2(x)

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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Screen Recording 2024-05-05 at 11.22.54 PM

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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.

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1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...

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