1st/2 ways: derivative y=(ln(x))^x

integral exp ∫e^(mx)/(x^n) dx via Reduction formula

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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

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

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

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2nd/3ways: trig integral ∫sec(x) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(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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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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

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CMU: Find these integrals (a)-(b)

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Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t

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2 ways: derivative (ax+b)^n

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OSU Math 1151 Practice3: Compute the derivative.

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

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Shell Shocked - Spongebob Squarepants Season 6

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3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2

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