Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)

What would the value of SS be for his set of scores [118,118,118,118,118,118]?

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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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lim x/e^x? as x→∞

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example: Mean, Median & Mode

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2024 #3 MIT Integration Bee Final Lightning Round

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1) integral ∫1/5 dx/(1+x) vs 2) integral ∫sec^(5x)/(1+ tan(5x)) dx

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A couple has 6 children whose ages are 6,8,10,12,14,16. Find the variance in ages.

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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prob stat: One sample of n=4 scores has a mean of M=10, &

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AP Calculus 2nd way: integral ∫ (3^(x+1)-7^(x-1))/21^x dx

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2024 MIT Integration Bee Final

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Sum of Square vs Square of Sum

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Screen Recording 2024-02-16 at 8.23.14 PM

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