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1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx
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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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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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lim x/e^x? as 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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Lamar U: Use log. differentiation to find the 1st derivative of the given function
2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx
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A bag contains 5 red balls & 3 green balls. A ball is selected at random &
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Median [special weighted mean]
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JHU: integral ∫t^3 e^(t^2) dt
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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.
Variability or spread of a distribution. Whey we need it!
Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?