4th/4 ways: integral ∫1/(x + √x) dx

If 2^x + 2^y = 2^(x+y), then dy/dx ?

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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2nd way: integral ∫ log √x(x^n) dx

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

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2nd/2 ways: inverse trig derivative show d(arc sin(x))/dx = 1/√(1-x^2)

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Lamar U 2nd way: evaluate exp integral ∫e^(x+e^x) dx

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prob stat: A fair die is thrown twice. Find the prob. that two 5's are thrown.

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2nd way: integral ∫1/(x (a^2+ln(bx)) dx

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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2nd way: lim ((1+h)^3-1)/x? as h →0

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Lamar U 2nd way: evaluate trig log sq rt integral ∫sin(1+ln(2x))-√(1+ln(2x))/x dx

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

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U Arizona: For each integral decide which of the following is needed:

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5 ways: trig Derivative of sin^2(x)

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Express the sum of the digits of the number (1000^20 - 20) in decimal notation

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prob stat: A bag contains 5 red balls & 3 green balls. A ball is drawn at random &

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prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9

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Screen Recording 2024-05-11 at 9.02.49 PM

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