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2024 #3 MIT Integration Bee Final Lightning Round
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2nd way: integral ∫ log √x(x^n) dx
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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trig Write each expression as an equivalent algebraic expression involving only x.
A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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Pantun Melayu [Sorong papan tarik papan]
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2nd way: trig integral ∫√(sec^5(x)/sin^3(x)) dx
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Lamar U: Use log. differentiation to find the 1st derivative of the given function
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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem
prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9
Class_01_PP
Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?
prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.
Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y
prob stat: Find the weighted mean of the numbers 8 &12, if they are ...
Given events J & K:
2nd way: trig integral ∫(cos(x)+1)/sin^2(x) dx
2nd way: trig integral ∫ 1/(3+4sin^2(x)) dx
2nd way: integral ∫1/(6x^2+7x+2) dx
Calculus: Find nth derivative of log(ax+b)