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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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commutative: ab=ba via "picture"
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lim x/e^x? as x→∞
2nd way: integral ∫ log √x(x^n) dx
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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2 ways: sq root derivative 1/(√√(1/√x))
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Swinburne U 2nd way: e^(-e^x) e^x dx
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Screen Recording 2024-05-05 at 11.29.37 PM
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Screen Recording 2024-05-18 at 10.21.39 PM
integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx
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.
2nd way: Evaluate integral ∫x^2/√(19-x^2) dx
Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx
Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)
Screen Recording 2024-05-11 at 9.05.02 PM
2nd way: sq rt log integral ∫√√√(x) ln(x) dx
When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?
JHU: sq root integral ∫e^√x dx
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