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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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A kid spent 6 yuan on skincare products, but the parents want to send the child to a psychiatric hos
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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lim x/e^x? as x→∞
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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.
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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx
Which province's residents love buying luxury cars the most?
Evaluate these 9 integrals containing ...
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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem
1st way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1
derivative Find d2y/dx2 for this function y=ln(x)/(1-x)
Creative Uses for Your Admission Ticket
Given events J & K:
2010 Raytheon MATHCOUNTS National Competition
2nd way: 1) ∫1/(a + √b x^2) dx vs 2) ∫1/(a + √b x^2) dx
Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx
prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?