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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))
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2 ways: sq root derivative 1/(√√(1/√x))
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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2nd/2parts: Linear interpolation (2 given points)
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Evaluate these 9 integrals containing ...
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examples: 2x2 matrix which is its own inverse
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3 ways: sum Show 1+3+5+...nth term = n^2
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Median [special weighted mean]
2 ways: Show logb^n(a)=1/n logb(a)
1st/2parts: Linear interpolation (2 given points)
2 ways: trig show tan(2x)=2tan(x)/1-tan^2(x))
Screen Recording 2024-02-22 at 10.28.13 PM
#5 MIT 2022 Integration Bee Qualifying Exam
3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule
trig Evaluate each expression below withOUT using a calculator.
Screen Recording 2024-02-22 at 10.09.39 PM
Review: trig tan(x+360)= tan(x) & tan(x+180)=tan(x)
#16 MIT 2022 Integration Bee Qualifying Exam