Question

Let $f(x)=\delta(x) $ if $ x\in (-\infty,0] $ and $f(x)=0$ if $x\in (0,\infty)$. Then $I=\int_{-\infty}^{\infty}f(x)dx=?$

score 94 · Answer 1 · 2026-04-16 09:21:41

94

Views

Let $f(x)=\delta(x) $ if $ x\in (-\infty,0] $ and $f(x)=0$ if $x\in (0,\infty)$. Then $I=\int_{-\infty}^{\infty}f(x)dx=?$

Published on 16 Apr 2026 - 9:21

score 277 · Answer 2 · 2026-04-15 20:35:57

277

Views

General approach to apply Fubini's theorem to integrals of the form $\int_{x=a}^b \int_{y=\alpha(x)}^{\beta(x)}$

Published on 15 Apr 2026 - 20:35

score 132 · Answer 3 · 2026-04-16 22:13:54

132

Views

How to evaluate $\int_a^b(b-x)(x-a)dx$ in a smart way?

Published on 16 Apr 2026 - 22:13

score 96 · Answer 4 · 2026-04-12 00:22:53

96

Views

$de^{-x^2}$ as an integration variable

Published on 12 Apr 2026 - 0:22

score 817 · Answer 5 · 2026-04-13 21:36:59

817

Views

Finding mass of surface with non-uniform density

Published on 13 Apr 2026 - 21:36

score 287 · Answer 6 · 2026-04-15 03:47:40

287

Views

What is the solution to this peculiar Integral: $\int \tan \left(\frac 1 x\right) \, dx$?

Published on 15 Apr 2026 - 3:47

score 2.9k · Answer 7 · 2026-04-13 16:06:01

2.9k

Views

Finding the volume of solid bounded by planes $x-2y+z=12$, $z=0$, $x=0$, and $y=x$. Trouble setting up double integral.

Published on 13 Apr 2026 - 16:06

score 61 · Answer 8 · 2026-04-10 20:10:57

61

Views

Improper integral problem

Published on 10 Apr 2026 - 20:10

score 1k · Answer 9 · 2026-04-12 07:32:54

1k

Views

Why does the washer method not apply when rotating a function along the $y$-axis

Published on 12 Apr 2026 - 7:32

score 441 · Answer 10 · 2026-04-17 07:58:49

441

Views

Finding value of $\int\frac{\ln(x)}{1+x^2}dx$

Published on 17 Apr 2026 - 7:58

score 76 · Answer 11 · 2026-04-17 07:46:02

76

Views

Evaluate $\int_0^1 \frac 1 {\lfloor 1-\log_2(x) \rfloor}\,\mathrm{d}x$

Published on 17 Apr 2026 - 7:46

score 99 · Answer 12 · 2026-04-14 17:18:28

99

Views

Integrating $\int_{a}^{\infty} \frac{x^4e^x}{(e^x-1)^2}dx$ for large values of $a$

Published on 14 Apr 2026 - 17:18

score 52 · Answer 13 · 2026-04-17 14:15:22

52

Views

Integration $\int_0^1 \cos \left(\sqrt{c+ b x+x^2}\right) \, dx$

Published on 17 Apr 2026 - 14:15

score 92 · Answer 14 · 2026-04-14 17:41:10

92

Views

Distribution of $\sum_{i=1}^n \max\{(r-X_i),0\}$, with $X_i$ continuous positive iid

Published on 14 Apr 2026 - 17:41

score 73 · Answer 15 · 2026-04-17 05:17:50

73

Views

Compute $\int_0^1 \left( \Gamma(x+1) - x^x\right) dx$

Published on 17 Apr 2026 - 5:17

List Question

Let $f(x)=\delta(x) $ if $ x\in (-\infty,0] $ and $f(x)=0$ if $x\in (0,\infty)$. Then $I=\int_{-\infty}^{\infty}f(x)dx=?$

General approach to apply Fubini's theorem to integrals of the form $\int_{x=a}^b \int_{y=\alpha(x)}^{\beta(x)}$

How to evaluate $\int_a^b(b-x)(x-a)dx$ in a smart way?

$de^{-x^2}$ as an integration variable

Finding mass of surface with non-uniform density

What is the solution to this peculiar Integral: $\int \tan \left(\frac 1 x\right) \, dx$?

Finding the volume of solid bounded by planes $x-2y+z=12$, $z=0$, $x=0$, and $y=x$. Trouble setting up double integral.

Improper integral problem

Why does the washer method not apply when rotating a function along the $y$-axis

Finding value of $\int\frac{\ln(x)}{1+x^2}dx$

Evaluate $\int_0^1 \frac 1 {\lfloor 1-\log_2(x) \rfloor}\,\mathrm{d}x$

Integrating $\int_{a}^{\infty} \frac{x^4e^x}{(e^x-1)^2}dx$ for large values of $a$

Integration $\int_0^1 \cos \left(\sqrt{c+ b x+x^2}\right) \, dx$

Distribution of $\sum_{i=1}^n \max\{(r-X_i),0\}$, with $X_i$ continuous positive iid

Compute $\int_0^1 \left( \Gamma(x+1) - x^x\right) dx$

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