Alternate way: log integral ∫1/(x+xln(2x))

Doraemon: S03E05 in hindi 🥰 || Release Year: (1981).🎞️

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

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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

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2nd/3ways: trig integral ∫sec(x) dx

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integral ∫ x dx withOUT using Power rule.

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set Show X∩ ((Y∪ X') ∩ Y') = ∅

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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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Screen Recording 2024-02-02 at 1.54.05 AM

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Bijection of elements in tn & a pair of elements of (n+1)

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integral ∫√(x-a)/x dx

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1st/2ways: Taylor series of cos(x)

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2 ways: integral ∫(x-a)/(x+a) dx

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3 ways: trig Show sec(2x)=sec^2(x)/(2-sec^2(x))

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2nd/2ways: Taylor series of sin(x) [Maclaurin's series]

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2nd way: If y=(ax-b)/(a-bx), prove that 2y1y3=3(y2)^2

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

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Screen Recording 2024-02-16 at 8.27.04 PM

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prob stat: A die with 4 red faces & 2 green faces is rolled twice.

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2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx

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