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sq root integral ∫1/√...√√x dx with n √
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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2nd way: derivative x w.r.t x^x. [YES, d(x)/d(x^x)!]
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第十屆特斯拉分享心得3
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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx
1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]
prob stat: X & Y are 2 events s.t P(x|y)=0.4, P(y)=0.25 & P(x)=0.2.
Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt
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U Penn: Show that the following decomposition CANNOT hold ...
Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx
Lamar U: trig integral ∫sec^2(9x) tan^3(9z) dx
2nd/2 ways: trig integral ∫sin(2x)/(1+cos^2(x)) dx
Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx
prob stat: An ordinary die is thrown. Find the prob. that the number obtained is
2 ways: integral ∫ 5x dx
Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx
integral exp ∫e^(mx)/(x^n) dx via Reduction formula
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Lamar U 2nd way: evaluate trig log sq rt integral ∫sin(1+ln(2x))-√(1+ln(2x))/x dx