Derivative 1) tanh(ln(x)) 2) (x^2-1)/(x^2+1)

Show ∫1/(a+btan(x)) dx = ...

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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lim x/e^x? as x→∞

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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alternate way: count sum 1+3+5+ ... +(2n-1)

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If 4xe^(xy)=y+5sin^2(x) then find the value of y'(0)

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3rd/3ways: Laplace Show that ...

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Diff Equ: Solve y-xdy/dx=b(1+x^2dy/dx)) via integrating factor [IF]

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Show log b^n(x^m) = m/n logb(x)

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trig integral cos^2(x) sin(x) dx

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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"baby" fact: exp even odd e^x

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

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There are 2 lines. One line has 3 points & the other line has 6 points.

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exp integral e^x (f(x) + f'(x)) dx

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U of Auckland: proc & stat Let X be a continuous random variable with p.d.f

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count comb: How many subsets does {{{118},{{18,19,20,21,...,118}},{{{118}}} }} have?

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

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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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