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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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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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logic Idempotent law show x=xVx
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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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Find the area via Pick's Theorem
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UC Davis P#6: 2nd way differentiate y= (√x)^(√x) e^(x^2)
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]
Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx
UC Davis: differentiate y=cos^2(x^3)
Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx
Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)
#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt
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#9 2023 MIT Integration Bee Qualifying Exam
Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)