Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

1st/2ways: r-Permutations

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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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logic: tautology (¬p→q)∧(¬p→¬q) →p

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Pantun Melayu [Buah cempedak di luar pagar]

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Alternate way: trig integral ∫cos(x) dx

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sq root integral ∫1/√...√√x dx with n √

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Suppose your midterm test score is 83 & your final exam score is 95.

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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5th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)

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derivative log f(g(x)) (a)

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3 ways: trig Show sec(2x)=sec^2(x)/(2-sec^2(x))

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sq root integral ∫1/√√x dx

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2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))

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Doubly triangular number

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UC Davis: #10 log integral ∫3/(x ln(x)) dx.

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If P and Q are statements, then write the negation of P Q using only the connectives ∧ and ¬

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AP Calculus 2nd way: trig integral ∫sin(2x)/(2-cos^2(x)) dx

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trig integral ∫x sec^5(x^2) tan(x^2) dx

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