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Lamar U: trig integral β«cos^5(2t) sin^2(2t) dt
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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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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
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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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Review: Linear form, Quadratic form & Bilinear form
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logic Idempotent law show x=xVx
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) βseparable to β separable
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AI 2008 Hindustan: Evaluate integral β« 2/3 cos(x)/sin^2(x) dx
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MP 2000 Hindustan: Evaluate β«(tan(x)+cot(x))^2 dx
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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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Princeton U: Compute the integral β«sin^5(x)/cos(x) dx
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Always ZERO
1st/2ways: permutation Show P(n,2)+P(n,1)=n^2
8 Views
alternate way: count sum 1+3+5+ ... +(2n-1)
exp integral e^2x/(1+e^x) dx
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2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem
1st/2ways: r-Permutations
alternate way: count sum 1 + 2 + 3+... + n via "polynomial"
integral exp β«e^(mx)/(x^n) dx via Reduction formula