1st way: exp trig ∫e^x (cos(x)+sin(x)) dx

CMU: Find these integrals (a)-(b)

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count quick review: Permutation vs Combination

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2nd/3ways: trig integral ∫sec(x) dx

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

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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logic Idempotent law show x=xVx

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2nd Alt. way: log Taylor series of ln(sec(x)) withOUT Taylor series explicitly

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2nd way: derivative (x^x)√ x

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trig integral Find cos^2(x) sin(x) dx

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3 ways: sum Show 1+3+5+...nth term = n^2

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1st/3 parts: Growing patterns

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Solve x(x-1)dy/dx - (x-2)y=x^3(2x-1) via Integrating Facto[IF]

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3rd/3 parts: Growing patterns

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Diff Equ: Solve y-xdy/dx=b(1+x^2dy/dx)) via integrating factor [IF]

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

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STPM Math T Sem.2 Exponential fun: Find the derivative (19)-(40)

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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2010 #2 MIT Integration Bee

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2 ways: Σ 1? where k=m to n

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