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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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UT Austin: trig integral ∫(1/x^2) sin(1/x) cos(1/x) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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Penn. State U: Suppose the p.m.f of discrete random variable X is ...
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Iowa State U [Fall 2019]: integral Find the integral
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Lamar U: Derivatives of Exponential & Log Functions Assignment Problems.
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2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".
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2nd part/3parts: Mean of -11,-2,7,...,70 SAME as Mean -11 & 70
2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)
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2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))
2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx
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3 ways: trig Show sec(2x)=sec^2(x)/(2-sec^2(x))
prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.
1st/2 ways[Direct]: Prove that the sum of 2 ODD numbers is ALWAYS EVEN
2 ways: integral ∫(x-a)/(x+a) dx
2nd way: trig integral ∫sin^2(x) cos^3(x) dx
2nd/2 ways: trig integral sin(x)/x + cos(x)/x^2 dx
OSU Math 1151 Practice3: Compute the derivative.