alternate way: count sum 1+2+3+ ... +n

count show Σak+b = aΣk + nb where k=1 to n

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

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

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2nd way: integral ∫ log √x(x^n) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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2nd way: trig integral ∫√tan(x)/(sin(x) cos(x)) dx

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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Find f'(x) in terms of g'(x)

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logic Show by truth table x∧(x→y)→y is Tautology

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Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

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2 ways: trig integral ∫1/(2+cos^2(x)) dx

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implicit differentiation Find dy/dx, sin(xy) +x/y = x^2 -y

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trig integral ∫1/(sin(ax) cos(ax)) dx

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2 ways: Show log b^(1/n)(a) = n logb(a)

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2nd way: ∫1/(√x cos(√x)) dx

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#6 2014 MIT Integration Bee Qualifying Exam

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set Is there any difference between the meanings of ...

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