Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))

If sec(x+y)=xy then find dy/dx

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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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2nd/3ways: trig integral ∫sec(x) dx

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Pantun Melayu [Buah cempedak di luar pagar]

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

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UC Davis P#6: 2nd way differentiate y= (√x)^(√x) e^(x^2)

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

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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"

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prob stat: A group consists of 4 girls & 7 boys. In how many ways can a team of 5 members ...

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4 ways: trig integral ∫tan(x) dx

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

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trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula

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Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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2 ways: Find logarithm of 5 to the base 5 √5.

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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=XYZ+XY'Z+XYZ'

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