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logic: De Morgan's Law

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

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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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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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2

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I.B.P Derivation [Integration By Parts]

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2nd way: derivative y=e^x sin(x) cos^3(x)

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Show ∫1/(a+btan(x)) dx = ...

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EP1 Tsuishoku (Sub Indonesia) 720p

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Screen Recording 2023-12-02 at 3.42.17 AM

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5 ways: trig derivative tan(x).

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trig integral sin(tan(x)) cos(tan(x)) sec^2(x) dx [chain rule in reverse]

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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]

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Alternate way: ∫1/(x^2+a^2) dx

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3th/4 ways: integral ∫1/(x + √x) dx

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The principal value of arc tan(tan(3π/5)

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