Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx

1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx

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

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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

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

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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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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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AP Calculus 2nd way: integral ∫(ax^2+bx+c)/(ax+c) dx

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If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...

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doneScreen Recording 2024-05-18 at 10.25.20 PM

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AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]

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prob stat: 2nd/2 parts. One sample has a mean of M=6 &

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matrix example: How to select the column you want ...

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AP Calculus 4th way: exp ∫1/(1+e^x) dx via 3rd u-sub

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U Penn: Show that the following decomposition CANNOT hold ...

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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Screen Recording 2024-05-11 at 8.58.53 PM

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Fill in each blank using either mean or median.

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