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#4 2022 2nd/2 ways: MIT Integration Bee Qualifying Exam
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
1st way: exp ∫(e^x)/x (1+x log(x)) dx
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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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Review: Linear form, Quadratic form & Bilinear form
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Swinburne U 2nd way: e^(-e^x) e^x dx
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2nd way: derivative (x^x)^x
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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)
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exp Calculate ∫x^3 3^x dx via IBP
prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.
prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.
Screen Recording 2023-12-07 at 2.04.49 AM
Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)
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Which of the following do NOT constitute a set & WHY?
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5 ways: integral ∫a^(px+q) dx
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integral ∫(2-x)/(1-x) dx
2nd way: integral tan(x)/(1+tan(x)) dx