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Princeton U: Compute the integral ∫sin^5(x)/cos(x) dx
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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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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STPM Math T Sem.2 Exponential fun: Find the derivative (19)-(40)
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trig integral ∫sec(x) dx =
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Review: trig tan(x+360)= tan(x) & tan(x+180)=tan(x)
prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx
Lamar U: Derivatives of Exponential & Log Functions Assignment Problems.
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log sq root integral ∫ln(√ x^3)/√ √ x dx
If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0
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Growing patterns #3
1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number
trig integral ∫cot(x) log(sin(x)) dx
Sweater
trig integral Find cos^2(x) sin(x) dx
1st/parts: Derivative of the inverse circular functions
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2 ways: derivative Find dy/dx, where tan(x+y)+tan(x-y)=1