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

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

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

14 Views

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

1:11

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

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

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

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

0:53

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 ...

1:23

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.

1:56

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

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logic: De Morgan's Law

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logic: De Morgan's Law

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NONelementary integral ∫e^(ax)/x dx

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NONelementary integral ∫e^(ax)/x dx

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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"

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alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"

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2nd way: trig integral ∫sec^(3/2)(x) tan^3(x) dx

1:33

2nd way: trig integral ∫sec^(3/2)(x) tan^3(x) dx

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Show ∫1/(a+btan(x)) dx = ...

2:54

Show ∫1/(a+btan(x)) dx = ...

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West Virginia U: exp integral ∫3^x (2^x)^3/((6^x 4^(2x)) dx

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West Virginia U: exp integral ∫3^x (2^x)^3/((6^x 4^(2x)) dx

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2 ways: trig integral ∫sec^2(x) tan(x) dx

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2 ways: trig integral ∫sec^2(x) tan(x) dx

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Find the number of permutations of the letters of the word ALLAHABAD

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Find the number of permutations of the letters of the word ALLAHABAD

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Screen Recording 2023-12-02 at 3.42.17 AM

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Screen Recording 2023-12-02 at 3.42.17 AM

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UC Davis #3 2nd way: ∫(2-x)/(x^2+5x)dx [integration by partial fraction]

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UC Davis #3 2nd way: ∫(2-x)/(x^2+5x)dx [integration by partial fraction]

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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

3:40

2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

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

4:37

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

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