1st part: Mean 1+2+3+...+n is just (1+n)/2. Why?

Why the mean of AP is the median of AP? mean=median?

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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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logic Idempotent law show x=xVx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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2 ways: sq root derivative 1/(√√(1/√x))

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Pantun Melayu [Sorong papan tarik papan]

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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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integral ∫x^3/(x+2) dx

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prpob stat A bag contains 5 black balls 6 red balls. Determine the number of ways in which ...

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Find the area via Pick's Theorem

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JEE Main integral x^2/(a+bx)^2 dx

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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]

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Find the number of different 8 letter arrangements that can be made from the letters of the word ..

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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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Texas Tech: 5 ways trig Differentiate g(x)=cos^2(x)

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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=cos^2(x^3)

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Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx

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Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx

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