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

2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub

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

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lim x/e^x? as x→∞

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

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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count quick review: Permutation vs Combination

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integral ∫ x dx withOUT using Power rule.

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2nd/3ways: trig integral ∫sec(x) dx

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

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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matrix example: How to select the column you want ...

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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Purdue U: Evaluate ∫sec^5/2(x) tan(x) dx where x= 0 to pi/3

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2 ways: trig integral ∫tan^3(x) sec^2(x) dx

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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

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Solve the differential equation xcos^2(y) dx + tan(y) dy=0

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NYU: compute integral ∫√(1+ √x) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫tan^(3/2)(x) sec^4(x) dx

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NYU: 2 ways compute log integral ∫ln(x) dx

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2nd way: exp integral e^3x/(e^x +2) dx withOUT u-sub

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