integral of ln x

比賽瞬間絕對精彩

12月 23, 2011

張碧文

kuso

Integral ln(x) - Math2.org1. Proof Strategy: Use Integration by Parts. ln(x) dx set u = ln(x), dv = dx then we find du = (1/x) dx, v = x substitute ln(x) dx = u dv and use integration by parts = uv - v du substitute u=ln(x), v=x, and du=(1/x)dx = ln(x) x - x (1/x) dx...

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很屌的答案卡

12月 23, 2011

黃懷雙

kuso

*Indefinite Integral: ∫(sin(ln x))/(x) dx - YouTubeA http://www.door2math.com production. .∫(sin(ln x))/(x) dx....

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King Size 的食物~這漢堡要怎麼吃

12月 23, 2011

葉詩萍

kuso

calculus - Integral $\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\fI need help with this integral: $$I=\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right)\ \mathrm dx.$$ The integrand graph looks like this: $\hspace ......

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有趣！換個角度看竟是如此效果

12月 22, 2011

陳巧芹

kuso

*how to find integral (antiderivative) of (x^2)ln(x) dx? - YouTubeA http://www.door2math.com production. Integral of (x^2)ln(x) dx?...

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要狠一點才有用的警告語

12月 22, 2011

彭靜菱

kuso

u-substitution with ln(x) | u-substitution | Khan AcademyFirst, I applaude you on your substitution. That was very creative, and it took me a minute to catch up. Now, the form into which you have gotten the integral involves an integration technique called integration by partial fraction decomposition. You can ...

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貓咪睡覺超可愛的~

12月 22, 2011

梁涵蓮

kuso

(2^(ln x))/x antiderivative example | u-substitution | Khan AcademyFinding ∫(2^ln x)/x dx ... Could we not also say 2^Lnx = (e^Ln2)^Lnx = e^(Ln2*Lnx) = (e^Lnx)^Ln2 = x^Ln2 ? Then we have the integral of (x^Ln2)/x, which should just be the integral of x^(Ln2 - 1)dx, which is just a simple power rule (add one to exponent, ...

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