Conversion: Permutation - Combination vice versa

Compute the arithmetic mean for the following grouped data ...

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

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logic Idempotent law show x=xVx

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

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Swinburne U 2nd way: e^(-e^x) e^x dx

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2nd way: Find dy/dx a)x^y=y^x b)x^y+y^x=(x+y)^(x+y c) (cos(x))^y=(sin(y))^x

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Show ∫1/(a+btan(x)) dx = ...

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derivative (f(x)/g(x))^h(x)

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example: Mean, Median & Mode

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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2nd way: Evaluate integral ∫x^2/√(19-x^2) dx

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Which of the following statements are true, & why?

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2nd/2 ways: [k-map] logic:Simplify the Boolean function F=A+A'B

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Find the mean of the data given in the freq. distribution below ...

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Find the number of permutations of the letters of the word ALLAHABAD

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Screen Recording 2023-12-02 at 3.42.17 AM

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#9 2010 MIT Integration Bee Qualifying Exam

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