Where Did I Go Wrong with the Definite Integral of ln(x+2)dx?
Oct 26, 2007 · x\ln (x+2)-x+2\ln (x+2) But when I evaluate this on my calculator, I get the incorrect answer. Any ideas? Casey Last edited: Oct 26, 2007 Physics news on Phys.org Mathematical 'sum …
What is the meaning of the indefinite integral of 1/x?
Feb 10, 2011 · I understand that ln (a) is the area under graph 1/x from x=1 to x=a, where a>0, this is a definite integral. What I am trying to wrap my head around is the integral of 1/x being ln|x|, with the …
Solve Integral of ln(x^2-1) with Ease: Step-by-Step Guide
Feb 28, 2014 · Participants noted that the integration process must account for the full domain of ln (x^2-1) to arrive at the correct antiderivative. Understanding these nuances is crucial for successfully …
How do I find the integral of ln x? - Physics Forums
Aug 28, 2005 · The integral of ln x can be found using integration by parts, specifically the formula ∫u dv = uv - ∫v du. To integrate ln x, set u = ln x and dv = 1, leading to the result ∫ln x dx = x (ln x - 1) + C. …
Integral Help: Solving ln (x) from 0 to 1 • Physics Forums
Mar 11, 2012 · the definite integral is: integral from 0 to 1 of ln (x). i used integration by parts (u=ln (x), du=1/x dx, dv=dx, v=x) to show that the integral is equal to...
How to Solve Integral of e^x ln(x)dx in Homework? - Physics Forums
Dec 25, 2010 · Likewise, the FTC says e^x \ln x has an antiderivative but it doesn't tell us *how* to find it. An antiderivative of e^x \ln x is some function whose derivative is e^x \ln x but such a function …
How can I evaluate the integral of x/lnx if all methods seem to fail?
Jun 1, 2010 · Your integral is one that can't be expressed in elementary functions. However, while the exponential integral function is still defined as an integral, it is a standard function that is recognized …
What is the meaning of Si in the integral of ln (x)cos (x)?
Apr 30, 2014 · The integral of ln (x)cos (x) can be expressed as ln (x)sin (x) - Si (x) + C, where Si (x) represents the sine integral defined as Si (x) = ∫ (sin (t)/t) dt from 0 to x. The integration by parts …
Proof that the definite integral of 1/ln (x) doesn't exist
Apr 10, 2016 · The integral ∫ (1/ln (x)) dx from 1 to 2 diverges due to the behavior of ln (x) as x approaches 1. The limit lim (x → 1+) (x-1)/ (ln (x)) equals 1, indicating that 1/ln (x) behaves similarly …
How Do You Solve the Integral of ln^2 (6x) Using Integration by Parts?
Dec 4, 2012 · Hi all this is my first post hopefully i do it right. Homework Statement integrate ln^2 (6x)dx The Attempt at a Solution *integral* ln^2 (6x)dx u=ln^2 (6x)...