Write 1^2-2^2+3^2-4^2+5^2-6^2+7^2 using summation or product notation

2 ways: integral ∫(x-a)/(x+a) dx

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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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logic Idempotent law show x=xVx

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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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2nd way: sqrt trig integral ∫1/(√x cos^2(√x)) dx

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count comb: values nCn, nC(n-1), nC(n-2)

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derivative y=f(logb(arc tan(px+q))

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Lamar U: trig integral ∫sin(13z) sin(4z) dz

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

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2nd way: derivative (x^2+1)^sin(x)

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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Evaluate the integrals

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UC Davis: #6 exp integral ∫e^x(1+2e^x)^4 dx

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