Question

solve $\big(f^{-1}\big)'(0)\qquad \mbox{with}\qquad f(x)=\int_1^x\cos^2(e^t)\,dt$

score 77 · Answer 1 · 2026-04-16 12:54:17

77

Views

solve $\big(f^{-1}\big)'(0)\qquad \mbox{with}\qquad f(x)=\int_1^x\cos^2(e^t)\,dt$

Published on 16 Apr 2026 - 12:54

score 95 · Answer 2 · 2026-04-12 02:48:15

95

Views

Evaluating real integrals through residues

Published on 12 Apr 2026 - 2:48

score 396 · Answer 3 · 2026-05-04 22:32:00

396

Views

Proving sufficient condition for a differential 1-form to be exact

Published on 04 May 2026 - 22:32

score 115 · Answer 4 · 2026-04-15 04:19:48

115

Views

Partial fractions integral. Compute $\int_{0}^{1} \frac {x^4+1}{x^6+1}dx$

Published on 15 Apr 2026 - 4:19

score 94 · Answer 5 · 2026-04-29 16:17:45

94

Views

Find the sum of the series $\sum_{n=0}^{\infty} \frac{(x+2)^n}{(n+3)!}$

Published on 29 Apr 2026 - 16:17

score 73 · Answer 6 · 2026-04-21 22:38:06

73

Views

How to show that $v$ is the classical derivative of $u$ without using FTC?

Published on 21 Apr 2026 - 22:38

score 25 · Answer 7 · 2026-04-12 18:50:03

25

Views

Integration by parts using Fubini ; an extra factor of $-1$?

Published on 12 Apr 2026 - 18:50

score 1.2k · Answer 8 · 2026-04-12 00:47:43

1.2k

Views

What is up with the antiderivative of $\arctan^2(x)$?

Published on 12 Apr 2026 - 0:47

score 501 · Answer 9 · 2026-04-13 17:25:33

501

Views

Variable substitution in definite integral

Published on 13 Apr 2026 - 17:25

score 145 · Answer 10 · 2026-04-13 16:53:29

145

Views

Integral of Logarithm and Gaussian functions

Published on 13 Apr 2026 - 16:53

score 441 · Answer 11 · 2026-04-14 19:17:55

441

Views

calculating the integral $\int_1^2 \frac{1}{x}$ using Darboux sum

Published on 14 Apr 2026 - 19:17

score 89 · Answer 12 · 2026-04-17 14:27:12

89

Views

Compute $\int_{0}^{\frac \pi2} \sin((m-1)x)\sin(mx)\sin((m+1)x)dx$.

Published on 17 Apr 2026 - 14:27

score 328 · Answer 13 · 2026-04-11 16:22:21

328

Views

Is this proof of Euler's formula correct?

Published on 11 Apr 2026 - 16:22

score 293 · Answer 14 · 2026-04-12 04:20:58

293

Views

Describe the Fredholm operators of the first kind which are self-adjoint.

Published on 12 Apr 2026 - 4:20

score 279 · Answer 15 · 2026-04-16 16:15:45

Prove that if $f$ is integrable on $[a ,b]$ then $|f(x)|$ is also integrable on $[a ,b]$ and $|∫_a^b f(x)\,\mathrm dx|$ ≤ $∫_a^b|f(x)|\,\mathrm dx$

List Question

solve $\big(f^{-1}\big)'(0)\qquad \mbox{with}\qquad f(x)=\int_1^x\cos^2(e^t)\,dt$

Evaluating real integrals through residues

Proving sufficient condition for a differential 1-form to be exact

Partial fractions integral. Compute $\int_{0}^{1} \frac {x^4+1}{x^6+1}dx$

Find the sum of the series $\sum_{n=0}^{\infty} \frac{(x+2)^n}{(n+3)!}$

How to show that $v$ is the classical derivative of $u$ without using FTC?

Integration by parts using Fubini ; an extra factor of $-1$?

What is up with the antiderivative of $\arctan^2(x)$?

Variable substitution in definite integral

Integral of Logarithm and Gaussian functions

calculating the integral $\int_1^2 \frac{1}{x}$ using Darboux sum

Compute $\int_{0}^{\frac \pi2} \sin((m-1)x)\sin(mx)\sin((m+1)x)dx$.

Is this proof of Euler's formula correct?

Describe the Fredholm operators of the first kind which are self-adjoint.

Prove that if $f$ is integrable on $[a ,b]$ then $|f(x)|$ is also integrable on $[a ,b]$ and $|∫_a^b f(x)\,\mathrm dx|$ ≤ $∫_a^b|f(x)|\,\mathrm dx$

Trending Questions

Popular # Hahtags

Popular Questions