2 ways: exp log integral ∫3^(log81(x)) dx

Screen Recording 2024-02-02 at 1.54.05 AM

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2nd/3ways: trig integral ∫sec(x) dx

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

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

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

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UC Davis: differentiate y=(3x+1)^2

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UC Davis: differentiate y=2^cot(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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stat: SLR Properties of residuals

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prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?

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trig integral ∫1/(sin(ax) cos(ax)) dx

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2nd way: trig integral ∫sin(x/a) dx

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prob stat: A group consists of 4 girls & 7 boys. In how many ways can a team of 5 members ...

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2 ways: integral ∫(a^2-x^2) dx

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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.

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Sum of Square vs Square of Sum

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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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Show integral x/(x^2+a^2) dx = -1/(2(x^2+a^2))

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2nd way: trig integral ∫sin(a/x +b)/x^2 dx

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UC Davis: differentiate y=cos^2(x^3)

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