2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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

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

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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Scarlet mode hyper🥵🥵

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integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx

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integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx

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Show that ar sinh(x) = ln(x + √ (x^2+1))

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Show that ar sinh(x) = ln(x + √ (x^2+1))

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Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..

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Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..

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2 ways: diff eq Solve dy/dx=y-1

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2 ways: diff eq Solve dy/dx=y-1

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2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem

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2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem

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#6 2024 MIT Integration Bee Qualifying Exam

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#6 2024 MIT Integration Bee Qualifying Exam

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9Screen Recording 2023-12-02 at 2.43.56 AM

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

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

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2nd/2ways: [k map] logic Simplify the Boolean function F=AB+BC+B'C

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2nd/2ways: [k map] logic Simplify the Boolean function F=AB+BC+B'C

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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3 ways: sq root ∫√(1-x) dx

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3 ways: sq root ∫√(1-x) dx

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2 ways: diff eq Solve dy/dx-x^2=0

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2 ways: diff eq Solve dy/dx-x^2=0

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

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2nd way: Evaluate ∫a/(b+ce^x)dx

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2nd way: Evaluate ∫a/(b+ce^x)dx

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