2nd/2 ways: Show 1+3+5+ ... +(2n-1) + (2n+1) + (2n-1)+...+5+3+1= n^2 + (n+1)^2

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

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

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

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Review: Linear form, Quadratic form & Bilinear form

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integral ∫ x dx withOUT using Power rule.

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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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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2nd Alternate trig ∫integral sin(x) dx

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integral exp ∫e^(mx)/(x^n) dx via Reduction formula

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Columbia U: 4th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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Columbia U: 6th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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2nd way: integral ∫x^2/(x^3 -2)^5 dx

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prob stat: Let J & K be independent events. P(J|K)=0.3. Find P(J)

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2nd way: exp integral ∫(e^(-x) - e^x)/(e^(2x) + e^(-2x) 2) dx

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

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Oct 26 Pula vs Binabae

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Mohammad Ali Jinnah University: Integrate the followings.

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exp integral ∫e^x/((a+e^x)(b+e^x)) dx

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