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Review: Product to Sum Identities
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2 ways: sq root derivative 1/(√√(1/√x))
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logic Idempotent law show x=xVx
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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers
trig integral ∫1/(√sin(x) √cos^7(x)) dx
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3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..
#5 MIT 2022 Integration Bee Qualifying Exam
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3 ways: derivative log(x+ (1+√(x^2)))
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Growing patterns #2
sum: Find a close formula for 2,3,14,24,37,...
Find the expected value & the variance of a geometric r.v. X
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2 ways: log derivative log3(x)
2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)
Bijection of elements in tn & a pair of elements of (n+1)
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UT Austin: sq root ∫(1+√x)^3/√x dx
Review: trig sin(x+90)= cos(x) & cos(x+90)=-sin(x)
Alternate way: trig integral ∫cot(x) csc^6(x) dx ... just in 1 line.
EP 10 - benteng Si ratu Es nolep (The Ramparts of Ice) Sub Indo
UT Austin: trig sq root integral ∫1/(sin(x) + cos(x)) dxsin(√x)/√(x cos^3(√x)) dx
3 ways: trig integral 1/(1+cos(x)) dx