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

Show that ar sinh(x) = ln(x + √ (x^2+1))

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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2nd/3ways: trig integral ∫sec(x) dx

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trig Write each expression as an equivalent algebraic expression involving only x.

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

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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

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3rd way: rational function integral ∫x^3/√ (1+x^2) dx

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2nd way: integral ∫1/(a + √√b (x^2)) dx

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#5 MIT 2022 Integration Bee Qualifying Exam

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If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0

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1st/4 ways: integral ∫1/(x + √x) dx

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Variance measured in the squares of the units for the observations.

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3rd/3ways: trig integral ∫sec(x) dx

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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Ex11.6 STPM Math T Sem.2 Find the fir st 4 terms in the expansion of the following functions

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2 ways: integral ∫ 1/(x^2 √(1+x^2)) dx

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Is 4cos^3(x)-3cos(x) EVEN, ODD, NEITHER, BOTH EVEN & ODD?

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