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Chhota Bheem Hindi 5.59. Th T The Wily Piper. 5,59
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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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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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3rd/3 ways: trig integral ∫ sin(ax+b) dx
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3rd/3ways: count comb A set with n elements has 2^n subsets
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Chhota Bheem Hindi 5.62. BU B BUBBLE TRAP 5,62
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log sq root integral ∫ln(√ x^3)/√ √ x dx
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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number
alternate way: count sum 1+2+3+ ... +n
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[Entire life] Subject 3, but the five-member team of Ming Ke who makes money (M27 pre-release versio
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2 ways: log derivative log3(x)
Penn. State U: Suppose the p.m.f of discrete random variable X is ...
2 ways: trig integral ∫cos^2(x) dx
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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2
integral ∫x dx withOUT using power rule
2 ways: trig integral ∫ sec^2(x) csc^2(x) dx
UT Austin: ∫x (1-x^2)^1/4 dx