Screen Recording 2024-05-19 at 9.56.54 PM

Screen Recording 2023-12-07 at 2.04.49 AM

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

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2nd way: integral ∫ log √x(x^n) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Review: Linear form, Quadratic form & Bilinear form

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

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

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The number of solutions of the equation x^(log10(x)) = 100x

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

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#15 2022 MIT Integration Bee Qualifying Exam

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2nd way: integral ∫p^(nx) q^x dx

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A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.

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UC Davis #1 2nd way: integral ∫1/(x^2-4) dx [integration by partial fraction]

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

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trig integral 1/(sin^2(x)+ 2 cos^2(x)) dx

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2nd way: Derivative arc cos(x/a) Calculus

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Screen Recording 2024-03-03 at 12.00.11 AM

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8Screen Recording 2023-12-07 at 1.55.57 AM

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#20 2022 MIT Integration Bee Qualifying Exam

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