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3rd/4ways: trig derivative sin(x)

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If 2^x + 2^y = 2^(x+y), then dy/dx ?
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If 2^x + 2^y = 2^(x+y), then dy/dx ?

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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

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

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

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2nd way: integral ∫ log √x(x^n) dx
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2nd way: integral ∫ log √x(x^n) dx

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2nd/4ways: trig derivative sin(x)
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2nd/4ways: trig derivative sin(x)

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2 ways: trig integral ∫ sin^2(ax+b) dx
4:00

2 ways: trig integral ∫ sin^2(ax+b) dx

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2nd way: trig integral ∫1/(cos(x)(1+cos(x)) dx
2:43

2nd way: trig integral ∫1/(cos(x)(1+cos(x)) dx

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exp derivative x^n w.r.t x
1:02

exp derivative x^n w.r.t x

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3 ways: sq root ∫√(1-x) dx
3:11

3 ways: sq root ∫√(1-x) dx

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alternate way: count sum 1+3+5+ ... +(2n-1)
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alternate way: count sum 1+3+5+ ... +(2n-1)

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Find the number of subsets {1,{2,3}}
3:09

Find the number of subsets {1,{2,3}}

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review: prob stat Population variance vs sample variance
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review: prob stat Population variance vs sample variance

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UC Davis #18: trig integral ∫sec(x) tan(x) √(4+3sec(x)) dx
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UC Davis #18: trig integral ∫sec(x) tan(x) √(4+3sec(x)) dx

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derivative a^loga(f(g(ax+b)))
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derivative a^loga(f(g(ax+b)))

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UC Davis #1 integral 1/(1+√x) dx via power sub.
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UC Davis #1 integral 1/(1+√x) dx via power sub.

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2
3:16

Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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UC Davis #13: integrate ∫(x+3)(x-1)^5 dx
1:35

UC Davis #13: integrate ∫(x+3)(x-1)^5 dx

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count comb: How many subsets does {{{118},{{18,19,20,21,...,118}},{{{118}}} }} have?
1:35

count comb: How many subsets does {{{118},{{18,19,20,21,...,118}},{{{118}}} }} have?

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