Screen Recording 2024-05-12 at 9.04.39 PM

MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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Review: Product to Sum Identities

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2 ways: sq root derivative 1/(√√(1/√x))

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

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[Chinese Sleep Aid] YUE – Warm Tea-and-Book Reading, Chatting About Daily Life to Lull You to Sleep,

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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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#5 MIT 2022 Integration Bee Qualifying Exam

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trig integral ∫1/(√sin(x) √cos^7(x)) dx

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rational function integral x/(x-√(x^2-1)) dx

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

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integral ∫√(x-a)/x dx

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

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CMU: Find these integrals (a)-(b)

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Growing patterns #2

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3 ways: derivative log(x+ (1+√(x^2)))

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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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sum: Find a close formula for 2,3,14,24,37,...

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3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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2 ways: log derivative log3(x)

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Review: trig sin(x+90)= cos(x) & cos(x+90)=-sin(x)

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