Question

How to integrate $\int\frac{\sin(kx)}{e^x}dx?$

score 61 · Answer 1 · 2026-04-12 17:49:17

61

Views

How to integrate $\int\frac{\sin(kx)}{e^x}dx?$

Published on 12 Apr 2026 - 17:49

score 118 · Answer 2 · 2026-03-25 06:07:09

118

Views

$|a_{n+1}-a_n|\le \frac{\ln(n+1)}{n^2}$ Prove that $a_n$ is convergent

Published on 25 Mar 2026 - 6:07

score 75 · Answer 3 · 2026-04-09 03:39:11

75

Views

Need help with formalising proofs in Calculus. Convergent and Divergent series:

Published on 09 Apr 2026 - 3:39

score 608 · Answer 4 · 2026-04-10 17:54:23

608

Views

How do I solve for the selling price?

Published on 10 Apr 2026 - 17:54

score 69 · Answer 5 · 2026-03-31 15:37:14

69

Views

Evaluate $\int_{0}^{a} \ cos^{a-1}x\ cos(a+1)x dx $

Published on 31 Mar 2026 - 15:37

score 150 · Answer 6 · 2026-03-24 22:01:59

150

Views

Compute $\lim\limits_{x\to0}\left(\frac{1}{x^4}-\frac{\int_0^{x^2}e^{-u^2}du}{x^6}\right)$ without L'Hopital rule nor Taylor

Published on 24 Mar 2026 - 22:01

score 75 · Answer 7 · 2026-03-25 07:53:20

75

Views

Convergence of $\iint _{\Bbb R^2} e^{-(x+y)^4}dxdy$

Published on 25 Mar 2026 - 7:53

score 487 · Answer 8 · 2026-04-09 03:39:16

487

Views

The IVP $\begin{cases}\dot{x}=x^3+e^{-t^2}\\x(0)=1\end{cases}$ possesses a solution in $I=(-1/9,1/9)$

Published on 09 Apr 2026 - 3:39

score 734 · Answer 9 · 2026-04-12 13:49:38

734

Views

How did we get lower and upper bounds in triple integral

Published on 12 Apr 2026 - 13:49

score 1.4k · Answer 10 · 2026-03-25 07:51:27

1.4k

Views

Necessary condition for improper integral of odd and even functions to converge

Published on 25 Mar 2026 - 7:51

score 5.6k · Answer 11 · 2026-04-09 00:09:12

5.6k

Views

Find an appropriate trigonometric substitution of the form x=f(t) to simplify the integral

Published on 09 Apr 2026 - 0:09

score 320 · Answer 12 · 2026-04-08 23:46:52

320

Views

The sum of $\sum_{k=0}^{\infty}\frac{\zeta(2k+2)-1}{{2k+1}}$

Published on 08 Apr 2026 - 23:46

score 489 · Answer 13 · 2026-04-01 08:16:30

489

Views

Determine whether the Sequence is decreasing or increasing.

Published on 01 Apr 2026 - 8:16

score 175 · Answer 14 · 2026-03-24 22:01:55

175

Views

Find $f'(0)$ if $\frac{f(4h)+f(2h)+f(h)+f\left(\frac{h}{2}\right)+f\left(\frac{h}{4}\right)+f\left(\frac{h}{8}\right)+\cdots}{h}=64$

Published on 24 Mar 2026 - 22:01

score 2.3k · Answer 15 · 2026-04-10 19:39:05

2.3k

Views

Multi variable limit $\lim\limits_ {(x, y) \to (0, 0)} \frac {e^{xy} − 1} y$

Published on 10 Apr 2026 - 19:39

List Question

How to integrate $\int\frac{\sin(kx)}{e^x}dx?$

$|a_{n+1}-a_n|\le \frac{\ln(n+1)}{n^2}$ Prove that $a_n$ is convergent

Need help with formalising proofs in Calculus. Convergent and Divergent series:

How do I solve for the selling price?

Evaluate $\int_{0}^{a} \ cos^{a-1}x\ cos(a+1)x dx $

Compute $\lim\limits_{x\to0}\left(\frac{1}{x^4}-\frac{\int_0^{x^2}e^{-u^2}du}{x^6}\right)$ without L'Hopital rule nor Taylor

Convergence of $\iint _{\Bbb R^2} e^{-(x+y)^4}dxdy$

The IVP $\begin{cases}\dot{x}=x^3+e^{-t^2}\\x(0)=1\end{cases}$ possesses a solution in $I=(-1/9,1/9)$

How did we get lower and upper bounds in triple integral

Necessary condition for improper integral of odd and even functions to converge

Find an appropriate trigonometric substitution of the form x=f(t) to simplify the integral

The sum of $\sum_{k=0}^{\infty}\frac{\zeta(2k+2)-1}{{2k+1}}$

Determine whether the Sequence is decreasing or increasing.

Find $f'(0)$ if $\frac{f(4h)+f(2h)+f(h)+f\left(\frac{h}{2}\right)+f\left(\frac{h}{4}\right)+f\left(\frac{h}{8}\right)+\cdots}{h}=64$

Multi variable limit $\lim\limits_ {(x, y) \to (0, 0)} \frac {e^{xy} − 1} y$

Trending Questions

Popular # Hahtags

Popular Questions