Question

Prove that exists $c\in(a,b)$ such that: $\int_a^bf(x)dx = f(\frac{a+b}{2})(b-a)+\frac{f''(c)}{24}(b-a)^3$

score 178 · Answer 1 · 2026-04-16 00:35:41

178

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Prove that exists $c\in(a,b)$ such that: $\int_a^bf(x)dx = f(\frac{a+b}{2})(b-a)+\frac{f''(c)}{24}(b-a)^3$

Published on 16 Apr 2026 - 0:35

score 601 · Answer 2 · 2026-04-10 08:08:56

601

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Integration of a recursive function

Published on 10 Apr 2026 - 8:08

score 362 · Answer 3 · 2026-04-29 12:18:09

362

Views

Numerical integration of sharply peaking function: $\int_0^{1000} \exp(1000\sin(x)/x)\,{\rm d}x $

Published on 29 Apr 2026 - 12:18

score 98 · Answer 4 · 2026-03-25 16:21:17

98

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Integral: $\int\frac{x^2}{\sqrt{4-x^2}} dx$

Published on 25 Mar 2026 - 16:21

score 303 · Answer 5 · 2026-04-13 16:53:22

303

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Integral of a Inverse Wishart Distribution

Published on 13 Apr 2026 - 16:53

score 419 · Answer 6 · 2026-05-03 13:18:22

419

Views

Evaluate Surface integral: $\vec F=y{\hat i}+x{\hat j}+zy{\hat k}$, S is part of $z=x^2+y^2$ above $z=1$. Assume S has an upwards orientation.

Published on 03 May 2026 - 13:18

score 309 · Answer 7 · 2026-04-15 17:10:32

309

Views

Find the integral $\int\frac{dx}{\sqrt{x^2-a^2}}$

Published on 15 Apr 2026 - 17:10

score 1k · Answer 8 · 2026-04-15 23:09:03

1k

Views

Evaluate line integral and determine if independent of path

Published on 15 Apr 2026 - 23:09

score 153 · Answer 9 · 2026-04-29 12:43:29

153

Views

Commutativity and associativity in Stieltjes convolution algebra

Published on 29 Apr 2026 - 12:43

score 43 · Answer 10 · 2026-04-29 10:27:44

43

Views

pdf/cdf integral

Published on 29 Apr 2026 - 10:27

score 74 · Answer 11 · 2026-04-16 09:58:58

74

Views

Find $m$ such that area of the set is minimum

Published on 16 Apr 2026 - 9:58

score 216 · Answer 12 · 2026-04-09 08:56:31

216

Views

Proving an integral operator is injective

Published on 09 Apr 2026 - 8:56

score 103 · Answer 13 · 2026-04-13 17:32:42

103

Views

Closed form of :$\int\tan ( e^{-x²})\ d x$ Over reals

Published on 13 Apr 2026 - 17:32

score 270 · Answer 14 · 2026-04-15 00:27:51

270

Views

Obtaining a positive definite covariance matrix of order statistics

Published on 15 Apr 2026 - 0:27

score 186 · Answer 15 · 2026-04-11 13:52:25

186

Views

How does integration work algebraically?

Published on 11 Apr 2026 - 13:52

List Question

Prove that exists $c\in(a,b)$ such that: $\int_a^bf(x)dx = f(\frac{a+b}{2})(b-a)+\frac{f''(c)}{24}(b-a)^3$

Integration of a recursive function

Numerical integration of sharply peaking function: $\int_0^{1000} \exp(1000\sin(x)/x)\,{\rm d}x $

Integral: $\int\frac{x^2}{\sqrt{4-x^2}} dx$

Integral of a Inverse Wishart Distribution

Evaluate Surface integral: $\vec F=y{\hat i}+x{\hat j}+zy{\hat k}$, S is part of $z=x^2+y^2$ above $z=1$. Assume S has an upwards orientation.

Find the integral $\int\frac{dx}{\sqrt{x^2-a^2}}$

Evaluate line integral and determine if independent of path

Commutativity and associativity in Stieltjes convolution algebra

pdf/cdf integral

Find $m$ such that area of the set is minimum

Proving an integral operator is injective

Closed form of :$\int\tan ( e^{-x²})\ d x$ Over reals

Obtaining a positive definite covariance matrix of order statistics

How does integration work algebraically?

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