UT Austin: 2 ways trig integral ∫sin(2x+1)/cos^2(2x+1) dx

1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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2nd way: integral ∫ log √x(x^n) dx

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1st way: exp ∫(e^x)/x (1+x log(x)) 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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1st/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?

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The University of Maine: rational function integral compute

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2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1

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2nd part: STPM Math T Sem.2: 12.1 Numerical solution of Equations

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2 ways: diff eq Solve dy/dx-x^2=0

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Careful: arc sin(sin(5π/4)) ≠ ...

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2nd way: integral ∫1/(a + √√b (x^2)) dx

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2 ways: Σ 1? where k=m to n

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Solve √(2x-5) -√(x-2) = 2

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UC Davis #9: trig integral ∫cos^2(x)/(1+sin(x)) dx

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trig integral ∫sin(2x) cos(2x)/(9-cos^4(2x)) dx

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exp log derivative Know the differences ...

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1st/parts: Derivative of the inverse circular functions

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2 ways: trig derivative log(sec(x/2)+tan(x/2))

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

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