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2 way: exp integral e^(ax+b)/1+e^(ax+b)) 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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lim x/e^x? as x→∞
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integral ∫ x dx withOUT using Power rule.
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2nd/3ways: trig integral ∫sec(x) dx
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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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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.
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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.
example: Mean, Median & Mode
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A bag contains 5 red balls & 3 green balls. A ball is selected at random &
Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?
multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
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JHU: integral ∫t^3 e^(t^2) dt
When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?
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