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2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
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lim x/e^x? as x→∞
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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.
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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt
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Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..
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UC Davis#4 4 ways: integrate 7^(2x+3) dx
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Screen Recording 2023-12-06 at 3.07.30 AM
2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec^4(x)/tan(x) dx
MIT Integration Bee Quali Exam 2023 #13 ∫(x+e+1)x^e e^x dx
#16 MIT 2022 Integration Bee Qualifying Exam
Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]
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UC Davis #8: integral cos(5x)/(3+sin(5x)) dx
#17 2022 MIT Integration Bee Qualifying Exam
Screen Recording 2023-12-07 at 2.04.49 AM
2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx
#15 2022 MIT Integration Bee Qualifying Exam
UC Davis #6 integral e^x(1+2e^x)^4 dx