2010 #2 MIT Integration Bee

Conversion: Permutation - Combination vice versa

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(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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example: Mean, Median & Mode

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Iowa State U [Fall 2019]: integral Find the integral

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Texas Tech: 5 ways trig Differentiate g(x)=cos^2(x)

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examples: 2x2 matrix which is its own inverse

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c

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1st/10 parts: Logical disjunction

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Always ZERO

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"baby" fact: exp e^(ix)

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Alternate way: exp derivative x^n

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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median

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Difference of 2 nonconsecutive triangular numbers

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2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.

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