Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

#6 2019 MIT Integration Bee Final

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2nd way: integral ∫ log √x(x^n) 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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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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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Screen Recording 2024-02-22 at 10.09.39 PM

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Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t

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If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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NYU: 2 ways integral ∫(x^2 + 2x +1) dx

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Simplify the Boolean function F=A+A'B

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2 ways: Find the derivative y=ln(x) sin(x)

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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/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

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UC Davis #12 [THE INTEGRATION OF RATIONAL FUNCTIONS] withOUT u-sub

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2nd way:exp sq rt integral ∫1/( √x e^(a√x -b)) dx

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2nd way: trig integral ∫sin^4(x) dx

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1st/2 ways: MIT Integration Bee

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2 ways: integral ∫ 5x dx

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