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example: Mean, Median & Mode
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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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Conversion: Permutation - Combination vice versa
A bag contains 5 red balls & 3 green balls. A ball is selected at random &
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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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Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c
Alternate way: exp derivative x^n
2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.
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Review: Product to Sum Identities
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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median
1st/10 parts: Logical disjunction
1st/2ways: permutation Show P(n,2)+P(n,1)=n^2
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Iowa State U [Fall 2019]: integral Find the integral