2 ways: ∫ (1-x)/√(1-x^2) dx

1st/4 ways: integral ∫1/(x + √x) dx

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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

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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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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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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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2 ways: derivative logb(x)

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1st/2ways: r-Permutations

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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

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Pure Math: Calculate the coordinates of the two points on the curve

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3rd/3 parts: Growing patterns

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2 ways: ¬p→q ≡ p∨q

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2nd/2 parts: 2 (elementary) rules

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logic: contradiction p∧¬p

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2nd way: Find dy/dx a)x^y=y^x b)x^y+y^x=(x+y)^(x+y c) (cos(x))^y=(sin(y))^x

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exp derivative (log f(ax+b) (g(cx+d)))^h(mx+n)

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3 picture views of the sum ... 1+2+3+...+n

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