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Screen Recording 2024-05-11 at 8.57.14 PM

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2
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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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Princeton U: trig integral ∫sin(x)/√(1+cos(x)) dx

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)
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trig integral ∫sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx
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trig integral ∫sin(x) cos(x) cos(2x) cos(4x) cos(8x) cos(16x) cos(32x) dx

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