2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1

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

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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UC Davis P#6: 2nd way differentiate y= (√x)^(√x) e^(x^2)

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

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

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

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Review: Linear form, Quadratic form & Bilinear form

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logic Idempotent law show x=xVx

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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sum picture proof show 1^2+2^2+3^2+...+n^n=1/3 1/2n(1+n) (2n+1)

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logic How can we check our Boolean simplification is done correctly?

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#10 2023 MIT Integration Bee Qualifying Exam

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What would the value of SS be for his set of scores [118,118,118,118,118,118]?

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Collection of Crime Scene Simulations 1

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Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)

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Ax+By+C=0 to x/a + y/b=1

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Today I'm bringing photography enthusiasts to shoot our adorable assistant. Shanghai-based photograp

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JEE Main integral x^2/(a+bx)^2 dx

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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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UC Davis: differentiate y=2^cot(x)

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