derivative Find dy/dx if y+sin(y)= cos(x)

alternate way: count sum 1+2+3+ ... +n

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule

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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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integration bee 2014 UNSW: 4th way: e^x(cos(x)+sin(x)) dx

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#6 2024 MIT Integration Bee Qualifying Exam

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#fypppp

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2nd way: Express as partial fractions

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integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx

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prob stat One of the longest words in std. statistics terminology is "HOMOSCEDASTICITY".

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William & Mary Math 112: trig integral x cos(3x) dx

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Any function f is a sum of an EVEN & an ODD function

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4th/4 ways: integral ∫1/(x + √x) dx

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Doremon episode

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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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Pascal's triangle nth triangular number [examples]

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2nd/4 ways: integral ∫1/(x + √x) dx

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