5th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number

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rayan_xanm

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lim x/e^x? as x→∞

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

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

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the time I went to a guy's mixer ep1

MINAKOsenpai

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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Evaluate these 9 integrals containing ...

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2nd/2ways: derivative (sin(x)+cos(x))^2

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ cos^2(x) sin^3(x) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sec^4(x)/tan(x) dx

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx

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multivariable Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1)...

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"From this, it can be seen that Jet Li obviously doesn't want to say it!"

hongkongfilm

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

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1st way: lim ((1+h)^3-1)/h? as h→0

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example Find 1+2+3+...+n via Pick's Theorem

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2 ways: integral ∫ 5x dx

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1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]

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【Zhang Lurang✘Su Zaizai】It's so funny, this part of Rangrang must be driving him crazy, hahahahaha,

taoziweidequqibing

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