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

Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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2nd way: integral ∫log(x^p x^(-q)) (x) dx

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2 ways: trig integral ∫sin(√x) dx

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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sq root integral ∫1/√√x dx

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sq root integral ∫1/√...√√x dx with n √

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Sum of Square vs Square of Sum

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AP Calculus 2nd way: trig integral ∫sin^2(x) cos^2(x) dx

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Love Through a Prism 05

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2nd way: ∫(x+3)/(x^2+6x)^2 dx vs ∫(x+3)(x^2+6x)^2 dx

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2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1

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