3rd/3 ways: trig integral ∫ sin(ax+b) dx

Example: Find the sum

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

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

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Swinburne U 2nd way: e^(-e^x) e^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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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Princeton U: Compute the integral ∫sin^5(x)/cos(x) dx

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"baby" fact: exp e^(ix)

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Always ZERO

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

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Screen Recording 2024-05-10 at 6.17.33 PM

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Do you know ... paper folding ...

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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2 ways: diff eq Solve dy/dx=y-1

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2 ways: trig integral ∫ sin^2(ax+b) dx

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1st/3parts: Mean of 1,2,3,...,n SAME as Mean 1,n

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Careful: arc sin(sin(5π/4)) ≠ ...

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Find the number of subsets {1,{2,3}}

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