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5 ways: integral ∫a^(px+q) 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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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2nd way: derivative (x^x)^x
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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
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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 ...
prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.
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The pth, qth, & rth terms of an AP are x,y,z respectively.
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prob stat: The following frequency table gives the values obtained
#10 2023 MIT Integration Bee Qualifying Exam
Which pairs are equivalent via truth table?
2nd way: Evaluate integral ∫x^2/√(19-x^2) dx
Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx
alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"
#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt
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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.