integral sin(x)/(1+sin(x)) dx

example: Mean, Median & Mode

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

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

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2 ways: sq root derivative 1/(√√(1/√x))

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Review: Linear form, Quadratic form & Bilinear form

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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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partial Let f(x,y,z)=x e^(yz). Compute fxzy & fyxz.

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2 ways: integral ∫(a^2-x^2) dx

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If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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prob stat: A bag contains 5 red balls & 3 green balls. A ball is drawn at random &

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U Arizona: 2nd way For each integral decide which of the following is needed: ...

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

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2nd way: trig integral ∫√(sec^5(x)/sin^3(x)) dx

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3 ways: If y=x/(1+x^2) find dy/dx.

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UC Davis: #10 log integral ∫3/(x ln(x)) dx.

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prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:

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2 ways: derivative √(x+1) √(x-1)

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1) integral ∫1/5 dx/(1+x) vs 2) integral ∫sec^(5x)/(1+ tan(5x)) dx

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