Question

Is there a nice expansion for $\int e^{\cos(x)}dx$?

score 181 · Answer 1 · 2026-04-13 15:06:28

181

Views

Is there a nice expansion for $\int e^{\cos(x)}dx$?

Published on 13 Apr 2026 - 15:06

score 110 · Answer 2 · 2026-04-17 07:47:44

110

Views

Evaluate the indefinite integral of $\int\left(a^2-\frac{\sin {(a)}}{a^{2} + 1}-a\cos{(a)}\right)\,da$

Published on 17 Apr 2026 - 7:47

score 441 · Answer 3 · 2026-04-15 04:05:53

441

Views

How to indefinitely integrate $\ln \ln \ln x$ in terms of special functions or a series of special functions?

Published on 15 Apr 2026 - 4:05

score 602 · Answer 4 · 2026-04-16 08:56:09

602

Views

Why doesn't $\int\lfloor {x}\rfloor~dx=x\lfloor x\rfloor +C$?

Published on 16 Apr 2026 - 8:56

score 150 · Answer 5 · 2026-04-14 08:42:01

150

Views

I'm confused about Leibniz's article about integrals in 1686.

Published on 14 Apr 2026 - 8:42

score 39 · Answer 6 · 2026-04-12 18:50:09

39

Views

Integration in the van der Waals attractive potential

Published on 12 Apr 2026 - 18:50

score 100 · Answer 7 · 2026-04-11 05:53:21

100

Views

Patterns in indefinite integral (1)

Published on 11 Apr 2026 - 5:53

score 96 · Answer 8 · 2026-04-16 02:43:25

96

Views

Integration with a dependence of $\lfloor x\rfloor$ or in general of a function $\lfloor g(x)\rfloor$

Published on 16 Apr 2026 - 2:43

score 74 · Answer 9 · 2026-04-16 16:01:20

74

Views

Indefinite Integral $ \int \frac {1}{\cos x + \cot^2 x}\mathrm dx $

Published on 16 Apr 2026 - 16:01

score 71 · Answer 10 · 2026-04-11 16:24:51

71

Views

Changing Order of Integration for Indefinite Integrals

Published on 11 Apr 2026 - 16:24

score 128 · Answer 11 · 2026-04-16 17:54:12

128

Views

Integrating $\int \ln (x+\sqrt{x^2+1})\cdot\ln(x+\sqrt{x^2-1})\mathrm d x$

Published on 16 Apr 2026 - 17:54

score 63 · Answer 12 · 2026-04-15 14:56:33

63

Views

Find the following integral $\int\sqrt{x^2+1} dx.$ Please complete my solution.

Published on 15 Apr 2026 - 14:56

score 211 · Answer 13 · 2026-04-15 20:10:02

211

Views

A mystery of $\int \frac{1}{a^2\cos^2{x}+b^2\sin^2{x}} dx$

Published on 15 Apr 2026 - 20:10

score 352 · Answer 14 · 2026-04-16 09:49:57

352

Views

Solving the integral $\int_{-k}^{k} \frac{e^{-ax-bx^2}}{\sqrt{1-x^2}}dx$

Published on 16 Apr 2026 - 9:49

score 47 · Answer 15 · 2026-04-14 00:10:42

47

Views

some algebraic mistake (I guess) while doing integral

Published on 14 Apr 2026 - 0:10

List Question

Is there a nice expansion for $\int e^{\cos(x)}dx$?

Evaluate the indefinite integral of $\int\left(a^2-\frac{\sin {(a)}}{a^{2} + 1}-a\cos{(a)}\right)\,da$

How to indefinitely integrate $\ln \ln \ln x$ in terms of special functions or a series of special functions?

Why doesn't $\int\lfloor {x}\rfloor~dx=x\lfloor x\rfloor +C$?

I'm confused about Leibniz's article about integrals in 1686.

Integration in the van der Waals attractive potential

Patterns in indefinite integral (1)

Integration with a dependence of $\lfloor x\rfloor$ or in general of a function $\lfloor g(x)\rfloor$

Indefinite Integral $ \int \frac {1}{\cos x + \cot^2 x}\mathrm dx $

Changing Order of Integration for Indefinite Integrals

Integrating $\int \ln (x+\sqrt{x^2+1})\cdot\ln(x+\sqrt{x^2-1})\mathrm d x$

Find the following integral $\int\sqrt{x^2+1} dx.$ Please complete my solution.

A mystery of $\int \frac{1}{a^2\cos^2{x}+b^2\sin^2{x}} dx$

Solving the integral $\int_{-k}^{k} \frac{e^{-ax-bx^2}}{\sqrt{1-x^2}}dx$

some algebraic mistake (I guess) while doing integral

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