3 Views PremiumNov 27, 2023
UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
54 Views
Pantun Melayu [Buah cempedak di luar pagar]
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2nd way: ∫1/(√(x-α)(x-β)) dx
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prob stat: Find the expected value & std deviation in the number of '6's when 20 dice are rolled.
5 ways: trig Derivative of sin^2(x)
Purdue U: Evaluate ∫sec^5/2(x) tan(x) dx where x= 0 to pi/3
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#12 UC Davis: Find the length of the graph for x=ln(y)=y^2/8 on the closed interval ...
integral ∫x^3/(x+2) dx
prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.
2nd way: ∫ (4x^2 +x +9)/((x^2+1)(x^2+3)) dx withOUT partial fraction
Screen Recording 2024-02-22 at 10.13.28 PM
#10 2024 MIT Integration Bee Qualifying Exam
The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.
Differentiate the function y= x^3 (1+x)^2 /((1-x)^4 (1+2x)^2)
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Find the number of digits in a number? (118^118)
#20 2022 MIT Integration Bee Qualifying Exam
AP Calculus 2nd way: trig integral ∫dx/(4-3cos^2(x)+5sin^2(x)) dx
UC Davis #8: integral cos(5x)/(3+sin(5x)) dx
2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?