2nd way: integral ∫p^(nx) q^x dx

example: Mean, Median & Mode

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

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

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lim x/e^x? as x→∞

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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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Pantun Melayu [Sorong papan tarik papan]

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prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85

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Screen Recording 2024-05-13 at 9.18.43 PM

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

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Find the number of permutations of the letters of the word ALLAHABAD

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2nd way trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫tan(x) sec^2(x)/(a^2+b^2tan^2(x))^2 dx

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Screen Recording 2024-05-13 at 9.55.17 PM

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2nd/2 ways: MIT Integration Bee Final

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Screen Recording 2024-05-13 at 10.57.28 PM

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Screen Recording 2023-12-06 at 3.06.15 AM

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

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CMU trig integral ∫sin^6(x) cos^3(x) dx

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sq root 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(√x (1+√x))dx

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