2nd/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?

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2nd/2ways: r-Permutations

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trig integrals ∫cot(ax+b) dx vs ∫cot^2(ax+b) dx

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derivative y=a^(arc sin(x))^2

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If xy+y^2=tan(x)+y,then find dy/dx

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integral ∫x^2/√(x^2+a^2) dx

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1st way: count values nPn, nP(n-1), nP(n-2)

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trig integral ∫1/cos(ax+b) dx

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trig integral ∫x sec^5(x^2) tan(x^2) dx

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exp integral ∫1/(e^(ax+b) (1+e^(ax+b)) dx

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integral ∫x dx withOUT using power rule

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1st way: trig show sin(2x)=2tan(x)/(1+tan^2(x))=2cot(x)/(1+cot^2(x))

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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

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sq root integral ∫1/ √(a^2-bx^2) dx

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2 ways: log derivative y=ln(a+b)

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