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UT Austin: trig sq root integral ∫1/(sin(x) + cos(x)) dxsin(√x)/√(x cos^3(√x)) dx

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There are 2 lines. One line has 3 points & the other line has 6 points.
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There are 2 lines. One line has 3 points & the other line has 6 points.

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2nd way: integral ∫ log √x(x^n) dx

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

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count quick review: Permutation vs Combination

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

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AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx

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Big Pendulum
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Big Pendulum

benny_tate_03benny_tate_03

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2 ways: derivative (ax+b)^n

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love 💞😘

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Evaluate these 7 integrals ...
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Evaluate these 7 integrals ...

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2nd/2ways: count perm Show P(n,2)+P(n,1)=n^2
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2nd/2ways: count perm Show P(n,2)+P(n,1)=n^2

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Evaluate these 9 integrals containing ...
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Evaluate these 9 integrals containing ...

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stat: SLR Properties of residuals

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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.
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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.

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1st/2ways: r-Permutations

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examples: 2x2 matrix which is its own inverse

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2 ways: Σ 1? where k=m to n
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2 ways: Σ 1? where k=m to n

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)
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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2
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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2

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