2nd way: trig integral ∫ tan^4(x) sec^2(x) dx

Screen Recording 2024-05-05 at 11.28.23 PM

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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logic Idempotent law show x=xVx

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

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

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

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Review: Linear form, Quadratic form & Bilinear form

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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.

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exp Calculate ∫x^3 3^x dx via IBP

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Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx

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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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doneScreen Recording 2024-05-18 at 10.25.20 PM

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U Arizona: 2nd way For each integral decide which of the following is needed: ...

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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub

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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.

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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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Find the number of digits in a number? (118^118)

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Lamar U 2nd way: evaluate trig integral ∫csc(x/2) cot(x/2)(csc^6(x/2)+3csc^4(x/2)-8csc(x/2)) dx

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NYU: compute ∫ln(x)/x^2 dx

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