Lamar U: #12 trig integral evaluate ∫sec^4(2t)/tan^9(2t) dt

Example: Find the sum

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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#5 MIT 2022 Integration Bee Qualifying Exam

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Find the median of 4,6,8,...,296

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EP2 Tanmoshi S2 (Sub Indonesia) 720p

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2nd/2ways: trig Evaluate (sin^6(x) + cos^6(x))/(sin^2(x) cos^2(x)) dx

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2 ways: trig exp derivative e^(sin(x)) sin(e^x)

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Review: Product to Sum Identities

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2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx

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3 picture views of the sum ... 1+2+3+...+n

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COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))

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Alternate way: exp derivative x^n

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3rd/3 parts: Growing patterns

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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median

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