Question

If $F(x) = \int_0^x e^{\sin(t)} dt$ , so $F'(0)$ is equal to:

score 180 · Answer 1 · 2026-04-14 15:11:55

180

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If $F(x) = \int_0^x e^{\sin(t)} dt$ , so $F'(0)$ is equal to:

Published on 14 Apr 2026 - 15:11

score 52 · Answer 2 · 2026-04-11 20:57:14

52

Views

Minimum price calculation

Published on 11 Apr 2026 - 20:57

score 217 · Answer 3 · 2026-04-16 03:34:09

217

Views

Taylor Series of arbitrary polynomial

Published on 16 Apr 2026 - 3:34

score 2.5k · Answer 4 · 2026-04-13 20:06:11

2.5k

Views

U substitution. What do the dx and du represent?

Published on 13 Apr 2026 - 20:06

score 78 · Answer 5 · 2026-04-11 06:06:51

78

Views

How to prove a series is convergent?

Published on 11 Apr 2026 - 6:06

score 379 · Answer 6 · 2026-05-11 09:35:46

379

Views

Why can $\int \frac1{x^2}\,\mathrm dx=-\frac1x+C$ be incorrect when the integration domain isn't an interval?

Published on 11 May 2026 - 9:35

score 1.4k · Answer 7 · 2026-04-18 18:17:14

1.4k

Views

Taking the derivative of $x^4\sin(x)\cos(x)$, which step is wrong?

Published on 18 Apr 2026 - 18:17

score 613 · Answer 8 · 2026-04-15 00:54:36

613

Views

Is the following proof of the fluid dynamics relation $\frac{dp}{dR}=\rho \frac{v^2}{R}$ mathematically correct?

Published on 15 Apr 2026 - 0:54

score 65 · Answer 9 · 2026-04-18 18:26:43

65

Views

Find the inflection points of $f(x)={1 +\ln^2 x \over x}$

Published on 18 Apr 2026 - 18:26

score 47 · Answer 10 · 2026-05-11 09:35:04

47

Views

Indefinite Integration of $\frac {2}{x^2}-\frac 1{2x^3}$

Published on 11 May 2026 - 9:35

score 232 · Answer 11 · 2026-04-26 11:08:05

232

Views

How to find a constant that makes a geometric series convergent?

Published on 26 Apr 2026 - 11:08

score 160 · Answer 12 · 2026-04-17 02:55:47

160

Views

Show that, $\int_{0}^{1}\int_{0}^{1}\frac{\ln x-\ln y}{x-y}dxdy=2\zeta(2)$

Published on 17 Apr 2026 - 2:55

score 62 · Answer 13 · 2026-04-18 18:18:16

62

Views

Taking the Derivative of $\frac {\sin(x^2)}{3x}$, which step is wrong?

Published on 18 Apr 2026 - 18:18

score 64 · Answer 14 · 2026-04-17 00:47:34

64

Views

Given $1\leq a<b\leq2$, Prove $\frac{log(b)-log(a)}{b^2-a^2}<\frac{1}{2}$

Published on 17 Apr 2026 - 0:47

score 100 · Answer 15 · 2026-04-15 05:09:56

100

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Find $\lim_{n\to\infty}\int\limits_{0}^\infty{dx\over x^n +1}$

Published on 15 Apr 2026 - 5:09

List Question

If $F(x) = \int_0^x e^{\sin(t)} dt$ , so $F'(0)$ is equal to:

Minimum price calculation

Taylor Series of arbitrary polynomial

U substitution. What do the dx and du represent?

How to prove a series is convergent?

Why can $\int \frac1{x^2}\,\mathrm dx=-\frac1x+C$ be incorrect when the integration domain isn't an interval?

Taking the derivative of $x^4\sin(x)\cos(x)$, which step is wrong?

Is the following proof of the fluid dynamics relation $\frac{dp}{dR}=\rho \frac{v^2}{R}$ mathematically correct?

Find the inflection points of $f(x)={1 +\ln^2 x \over x}$

Indefinite Integration of $\frac {2}{x^2}-\frac 1{2x^3}$

How to find a constant that makes a geometric series convergent?

Show that, $\int_{0}^{1}\int_{0}^{1}\frac{\ln x-\ln y}{x-y}dxdy=2\zeta(2)$

Taking the Derivative of $\frac {\sin(x^2)}{3x}$, which step is wrong?

Given $1\leq a<b\leq2$, Prove $\frac{log(b)-log(a)}{b^2-a^2}<\frac{1}{2}$

Find $\lim_{n\to\infty}\int\limits_{0}^\infty{dx\over x^n +1}$

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