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#5 MIT 2022 Integration Bee Qualifying Exam
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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2 ways: sq root derivative 1/(√√(1/√x))
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Review: Product to Sum Identities
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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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Alternate way: trig integral ∫cot(x) csc^6(x) dx ... just in 1 line.
UT Austin: sq root ∫(1+√x)^3/√x dx
Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c
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3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..
2 ways: log derivative log3(x)
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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)
integral ∫√(x-a)/x dx
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3ways: Find a formula for the sum 2+4+6+...+2n
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OSU Math 1151 Practice4: Compute the derivative
Review: trig sin(x+90)= cos(x) & cos(x+90)=-sin(x)
3 ways: derivative log(x+ (1+√(x^2)))
3 ways: trig integral 1/(1+cos(x)) dx