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

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

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

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trig Write each expression as an equivalent algebraic expression involving only x.

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.

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Which of the following data sets has a median of 3?

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Screen Recording 2024-05-19 at 9.45.17 PM

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Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx

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2nd way: integral ∫1/cos(ax/2) dx

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NDA-2004 2nd way integral ∫(x-x^3)^1/3/x^4 dx

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2nd way: integral ∫x^(n-1) /(a-bx^n) dx

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Screen Recording 2024-05-19 at 11.13.23 PM

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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]

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Columbia U: 3rd way Evaluate the indefinite integral ∫1/(1+e^x) dx

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Diff Equ: Solve y-xdy/dx=b(1+x^2dy/dx)) via integrating factor [IF]

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prob stat The prob of events A & B are P(A) & P(B) respectively P(A)=5/12, P(A n B)=1/6, P(AuB)=q.

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exp integral ∫10^x e^(10x) dx

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exp derivative e^f(g(x)) h(x)

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2nd way: integral ∫1/x logb(x) dx

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trig integral ∫cot(x) log(sin(x)) dx

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