Alternate way: integral ∫ax+b dx

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

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

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2 ways: sq root √x^x

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

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commutative: ab=ba via "picture"

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)

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derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)

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Find the median of 4,6,8,...,296

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Find the median of 4,6,8,...,296

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2nd way: derivative (a-bx)^(px-q)

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2nd way: derivative (a-bx)^(px-q)

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2nd/2ways: trig Evaluate (sin^6(x) + cos^6(x))/(sin^2(x) cos^2(x)) dx

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2nd/2ways: trig Evaluate (sin^6(x) + cos^6(x))/(sin^2(x) cos^2(x)) dx

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2nd way: ∫ (x+1)/(1-x^2) dx

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2nd way: ∫ (x+1)/(1-x^2) dx

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Derivative: Don't blindly use the Quotient Rule every time you see a quotient

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Derivative: Don't blindly use the Quotient Rule every time you see a quotient

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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.

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2 ways: log derivative log3(x)

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2 ways: log derivative log3(x)

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Solve x(x-1)dy/dx - (x-2)y=x^3(2x-1) via Integrating Facto[IF]

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Solve x(x-1)dy/dx - (x-2)y=x^3(2x-1) via Integrating Facto[IF]

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