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2nd/3 parts: Growing patterns
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trig Write each expression as an equivalent algebraic expression involving only x.
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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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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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
examples 2x2 matrix withOUT an inverse
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Difference of 2 nonconsecutive triangular numbers
trig Prove each identity ... 1) to 10)
3 ways: derivative e^y=x
1st/4 ways: integral ∫1/(x + √x) dx
A function f is called even if f(-x)=f(x) for ALL x in the domain of f &
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3 ways: trig integral ∫sin([118]) cos([118]) d[118]
5th/10parts: Material implication
Compute the derivatives of the following function
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2 ways: Find ∫(ax^x+bx+c) dx
2nd way: Express (4x-17)/((x+4)(2x-3)) in partial fractions via
rational function integral x/(x-√(x^2-1)) dx
2nd part: n^2 = (tn - tn-1)^2 where tn = nth triangular number