Screen Recording 2024-05-19 at 9.53.16 PM

2nd way: integral ∫ log √x(x^n) dx

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3 ways: If y=x/(1+x^2) find dy/dx.

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

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

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

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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

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Pantun Melayu [Sorong papan tarik papan]

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Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..

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3 picture views of the sum ... 1+2+3+...+n

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2nd part/3parts: Mean of -11,-2,7,...,70 SAME as Mean -11 & 70

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Lamar U: Derivatives of Exponential & Log Functions Assignment Problems.

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1st way: Differentiate the function w.r.t x log10(x)+logx(10)+logx(x)+log10(10)

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2nd/2 parts: sum Find the sum 2,3,14,24,37,... nth term

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

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If x=at^2,, y=2at, then find d2y/dx2

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Lamar U: Derivatives of Exponential & Log Functions Practice Problems.

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Example: Find the sum

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2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".

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