Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

2nd way: integral ∫x/(2ax-x^2) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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lim x/e^x? as x→∞

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

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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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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx

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Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)

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Screen Recording 2023-12-02 at 3.42.17 AM

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2 ways: Show logb^n(a)=1/n logb(a)

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2nd way: derivative ∫log (f(x))^g(x) (p(x))^r(x)

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Show integral 1/(x^2(x^2+a^2)) dx = -1/(a^2x) - 1/a^3 arc tan(x/a)

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2nd way: integral ∫(a+ln(sin(x))/tan(x) dx

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Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))

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UC Davis: differentiate y=(3x+1)^2

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UC Davis: differentiate y=2^cot(x)

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3 ways: sum Show 1+3+5+...nth term = n^2

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logic: Translate the following compound into symbols using statements P & Q & logical connective

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If nC9=nC8, find nC17.

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