MPPET 1993 BIT Ranchi 1982 Hindusta: trig integral ∫ (1+cos^2(x)/sin^2(x) dx

derivative x^n vs n^x vs x^x

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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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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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: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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Bijection of elements in tn & a pair of elements of (n+1)

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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UC Davis: differentiate y=2^cot(x)

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Which of the following do NOT constitute a set & WHY?

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trig integral ∫x^2 cos(x^3) e^sin(x^3) dx

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logic: Simplify the Boolean function F=AB+(AC)'+AB'C(AB+C)

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example Find 1+2+3+...+n via Pick's Theorem

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2nd way: integral tan(x)/(1+tan(x)) dx

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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UC Davis: differentiate y=(3x+1)^2

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example: Mean, Median & Mode

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