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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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classroom of the elite _ vol 3 parte 1
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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2nd way: integral ∫ log √x(x^n) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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derivative log f(g(x)) (p(r(x)))
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Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt
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UT Austin: trig integral ∫csc((x-π)/2) cot((x-π)/2) dx
Sum/Difference of 2 EVEN function is EVEN
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2nd way: trig integral ∫sin(x) (a-cos(2x))^1/n cos(x) dx
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trig Show (sec(x)+1)/sec^2(x) = sin^2(x)/(sec(x)-1)
2nd/4 ways: integral ∫1/(x + √x) dx
2 ways: Find ∫(ax^x+bx+c) dx
log integral ∫ln(1/x)/x^2 dx
UT Austin: integral ∫(1+sin^(x-1)) sin(x-1) cos(x-1) dx
logic: tautology (¬p→q)∧(¬p→¬q) →p
Evaluate the integrals
Evaluate trig integral ∫1/(a+bcos^2(x)) dx