2nd/2 ways: Show 1+3+5+ ... +(2n-1) + (2n+1) + (2n-1)+...+5+3+1= n^2 + (n+1)^2

Screen Recording 2024-05-11 at 9.05.02 PM

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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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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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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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Screen Recording 2024-05-10 at 7.55.27 PM

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Screen Recording 2024-05-11 at 8.48.24 PM

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Screen Recording 2024-05-10 at 5.41.07 PM

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Screen Recording 2024-05-05 at 11.14.54 PM

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Screen Recording 2024-05-11 at 9.09.07 PM

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3 ways: Find 1+2+3+ ... + n^2.

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Screen Recording 2024-05-12 at 10.20.08 PM

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx

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

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prob stat: The discrete r.v. W has prob dist. as shown

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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Screen Recording 2024-05-11 at 8.51.53 PM

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