#16 MIT 2022 Integration Bee Qualifying Exam

Anime Edit 33#

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

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logic Idempotent law show x=xVx

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

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2nd way: derivative (x^x)^x

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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Bijection of elements in tn & a pair of elements of (n+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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2nd/2parts: Linear interpolation (2 given points)

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Show log b^n(x^m) = m/n logb(x)

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Mohammad Ali Jinnah University: Integrate the followings.

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2nd part: STPM Math T Sem.2: 12.1 Numerical solution of Equations

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

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Variability or spread of a distribution. Whey we need it!

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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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Solve x(x-1)dy/dx - (x-2)y=x^3(2x-1) via Integrating Facto[IF]

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exp Calculate ∫x^3 3^x dx via IBP

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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