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Question Number 46101 Answers: 1 Comments: 0

I=∫(x^(n+1) /(√(1+x^n )))dx=?

$$\mathrm{I}=\int\frac{\mathrm{x}^{\mathrm{n}+\mathrm{1}} }{\sqrt{\mathrm{1}+\mathrm{x}^{\mathrm{n}} }}\mathrm{dx}=? \\ $$

Question Number 46095 Answers: 1 Comments: 0

Question Number 46091 Answers: 1 Comments: 1

Question Number 46088 Answers: 1 Comments: 0

Question Number 46087 Answers: 1 Comments: 0

please help me!! calculate: I=∫_2 ^(1+e^2 ) ((12288ln(x−1))/([ln^(12) (x−1)+4096](x−1)))dx thanks!!!

$$\mathrm{please}\:\mathrm{help}\:\mathrm{me}!! \\ $$$$\mathrm{calculate}: \\ $$$$\mathrm{I}=\underset{\mathrm{2}} {\overset{\mathrm{1}+\mathrm{e}^{\mathrm{2}} } {\int}}\frac{\mathrm{12288ln}\left(\mathrm{x}−\mathrm{1}\right)}{\left[\mathrm{ln}^{\mathrm{12}} \left(\mathrm{x}−\mathrm{1}\right)+\mathrm{4096}\right]\left(\mathrm{x}−\mathrm{1}\right)}\mathrm{dx} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{thanks}!!! \\ $$

Question Number 46085 Answers: 1 Comments: 2

Question Number 46084 Answers: 1 Comments: 1

Question Number 46083 Answers: 1 Comments: 0

Question Number 46060 Answers: 1 Comments: 0

determine whether or not lim_(x→0) [ is continuous

$${determine}\:{whether}\:{or}\:{not}\:\:\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\left[\:\:\:\:\:\right. \\ $$$${is}\:{continuous} \\ $$

Question Number 46045 Answers: 1 Comments: 0

A number is said to be ′′right prime′′ if despite dropping the left most digits successively, Number continues to be a prime number. For example: 223 is a right prime because despite dropping 2 from left most part, we obtain 23 as the prime number. Next, even after dropping 2 from left, 3 is a prime. How many two digit numbers are right prime ?

$$\mathrm{A}\:\mathrm{number}\:\mathrm{is}\:\mathrm{said}\:\mathrm{to}\:\mathrm{be}\:''\mathrm{right}\:\mathrm{prime}''\:\mathrm{if}\:\mathrm{despite}\:\mathrm{dropping}\:\mathrm{the}\:\mathrm{left}\:\mathrm{most} \\ $$$$\mathrm{digits}\:\mathrm{successively},\:\:\mathrm{Number}\:\mathrm{continues}\:\mathrm{to}\:\mathrm{be}\:\mathrm{a}\:\mathrm{prime}\:\mathrm{number}.\:\: \\ $$$$\mathrm{For}\:\mathrm{example}:\:\:\mathrm{223}\:\mathrm{is}\:\mathrm{a}\:\mathrm{right}\:\mathrm{prime}\:\mathrm{because}\:\mathrm{despite}\:\mathrm{dropping}\:\mathrm{2}\:\mathrm{from}\:\mathrm{left} \\ $$$$\mathrm{most}\:\mathrm{part},\:\mathrm{we}\:\mathrm{obtain}\:\:\mathrm{23}\:\mathrm{as}\:\mathrm{the}\:\mathrm{prime}\:\mathrm{number}.\:\mathrm{Next},\:\mathrm{even}\:\mathrm{after}\:\mathrm{dropping}\: \\ $$$$\mathrm{2}\:\mathrm{from}\:\mathrm{left},\:\:\mathrm{3}\:\mathrm{is}\:\mathrm{a}\:\mathrm{prime}. \\ $$$$\:\:\:\:\:\mathrm{How}\:\mathrm{many}\:\mathrm{two}\:\mathrm{digit}\:\mathrm{numbers}\:\mathrm{are}\:\mathrm{right}\:\mathrm{prime}\:? \\ $$

Question Number 46042 Answers: 4 Comments: 10