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2Screen Recording 2024-05-17 at 6.10.36 PM

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1:36

8Screen Recording 2023-12-07 at 1.55.57 AM

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub

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2:47

2024 #3 MIT Integration Bee Final Lightning Round

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Screen Recording 2024-05-10 at 6.17.33 PM

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1:13

2 ways: trig show tan(2x)=2tan(x)/1-tan^2(x))

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2:36

sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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4:00

2nd/2 ways: Show 1+3+5+ ... +(2n-1) + (2n+1) + (2n-1)+...+5+3+1= n^2 + (n+1)^2

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3:42

Always ZERO

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2:32

Screen Recording 2024-05-10 at 5.37.05 PM

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5:41

2nd/3part: Maclaurin Series [ahp kia]

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2:13:18

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2:00

If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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4:54

Evaluate these 9 integrals containing ...

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2:47

2nd way: Evaluate integral ∫x^2/√(19-x^2) dx

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1:29

Evaluate the integrals

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4:48

Suppose E & F are 2 complementary events. Must E & F be mutually exclusive? Explain your answer.

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9:18

sum picture proof show 1^2+2^2+3^2+...+n^n=1/3 1/2n(1+n) (2n+1)

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2nd/2ways: Taylor series of cos(x)

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