Question

What is the derivative of $\sum_{n=1}^\infty\frac{x^n}{n}$?

score 94 · Answer 1 · 2017-07-14 21:30:32

94

Views

What is the derivative of $\sum_{n=1}^\infty\frac{x^n}{n}$?

Published on 14 Jul 2017 - 21:30

score 104 · Answer 2 · 2017-07-15 14:41:35

104

Views

Why is $ \lim_{n\to\infty}\sum_{i=0}^{n} \left(\frac i n\right)^{1.5} =\int_{0}^{1} \sqrt{x} \,dx$?

Published on 15 Jul 2017 - 14:41

score 63 · Answer 3 · 2017-07-16 21:24:36

63

Views

Riemann sum problem. Need to represent in defined integral

Published on 16 Jul 2017 - 21:24

score 810 · Answer 4 · 2017-07-19 11:29:31

810

Views

Error of approximating double integral with its Riemann sum

Published on 19 Jul 2017 - 11:29

score 106 · Answer 5 · 2017-07-27 00:15:12

106

Views

How do I turn this integral into a summation?

Published on 27 Jul 2017 - 0:15

score 835 · Answer 6 · 2017-07-27 03:43:16

835

Views

Prove the Riemann integral $\int_{a}^{b} x^2 dx = \frac{b^3-a^3}{3}$ by using the mean value theorem

Published on 27 Jul 2017 - 3:43

score 5.9k · Answer 7 · 2017-07-27 20:08:01

5.9k

Views

Riemann sums, finding the lower sum?

Published on 27 Jul 2017 - 20:08

score 1.9k · Answer 8 · 2017-07-28 03:46:33

1.9k

Views

Evaluate Riemann integral $\int_{a}^{b} e^x dx$ using upper and lower integral definitions and theorems

Published on 28 Jul 2017 - 3:46

score 508 · Answer 9 · 2017-07-28 20:06:38

508

Views

Riemann sums upper and lower sums question

Published on 28 Jul 2017 - 20:06

score 69.6k · Answer 10 · 2017-07-29 03:31:34

69.6k

Views

Express this limit as a definite integral. No interval given. $\lim\limits_{n\to\infty}\sum_{k=1}^n \left(1+\frac{2k}{n}\right)\cdot \frac{2}{n}$

Published on 29 Jul 2017 - 3:31

score 178 · Answer 11 · 2017-07-29 18:21:04

178

Views

Applying $ \cos(j-1) \theta - \cos(j+1)\theta = 2\sin\theta \sin j \theta$ to find the Riemann integral $\int_0^b \sin x \, dx$

Published on 29 Jul 2017 - 18:21

score 226 · Answer 12 · 2017-07-29 22:08:18

226

Views

Riemann Lower Sum by definition

Published on 29 Jul 2017 - 22:08

score 8.5k · Answer 13 · 2017-07-31 04:34:08

8.5k

Views

Prove that If $f$ is integrable on $[a,b]$ and $[b,c]$ then $f$ is integrable on $[a,c]$

Published on 31 Jul 2017 - 4:34

score 83 · Answer 14 · 2017-07-31 10:42:59

83

Views

$\int (\ln f) \, dx$ and $\ln(\int f \, dx)$

Published on 31 Jul 2017 - 10:42

score 200 · Answer 15 · 2017-07-31 18:46:47

200

Views

$f(x)>0\implies\int_a^bf(x)\mathop{dx}>0$

Published on 31 Jul 2017 - 18:46

List Question

What is the derivative of $\sum_{n=1}^\infty\frac{x^n}{n}$?

Why is $ \lim_{n\to\infty}\sum_{i=0}^{n} \left(\frac i n\right)^{1.5} =\int_{0}^{1} \sqrt{x} \,dx$?

Riemann sum problem. Need to represent in defined integral

Error of approximating double integral with its Riemann sum

How do I turn this integral into a summation?

Prove the Riemann integral $\int_{a}^{b} x^2 dx = \frac{b^3-a^3}{3}$ by using the mean value theorem

Riemann sums, finding the lower sum?

Evaluate Riemann integral $\int_{a}^{b} e^x dx$ using upper and lower integral definitions and theorems

Riemann sums upper and lower sums question

Express this limit as a definite integral. No interval given. $\lim\limits_{n\to\infty}\sum_{k=1}^n \left(1+\frac{2k}{n}\right)\cdot \frac{2}{n}$

Applying $ \cos(j-1) \theta - \cos(j+1)\theta = 2\sin\theta \sin j \theta$ to find the Riemann integral $\int_0^b \sin x \, dx$

Riemann Lower Sum by definition

Prove that If $f$ is integrable on $[a,b]$ and $[b,c]$ then $f$ is integrable on $[a,c]$

$\int (\ln f) \, dx$ and $\ln(\int f \, dx)$

$f(x)>0\implies\int_a^bf(x)\mathop{dx}>0$

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