# Questions tagged [calculus-and-analysis]

Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.

795 questions with no upvoted or accepted answers
Filter by
Sorted by
Tagged with
511 views

### Strange behaviour of integrals with Cos, Sin, and Exp

Bug introduced in 8.0.4 or earlier and persisting through 14.0 During the study of the problem How to solve this integration? I have discovered a strange behaviour of some integrals. I would ...
• 13.1k
258 views

### Reduce: Var is not a valid variable

Bug introduced in 7.0 and persisting through 13.1 or later. Fixed in 13.2.0 or earlier. I am trying to integrate the following but it returns a Reduce::ivar ...
• 1,897
288 views

89 views

• 173
200 views

### Integrate producing bad result

Bug introduced in 9.0 or earlier, and fixed in 10.2 I noticed a bug in Mathematica. It computes incorrectly a definite integral ...
• 419
210 views

• 14.4k
129 views

### Evaluate $\int_0^1 \frac{\log \left( 1+x^{2+\sqrt{3}}\right)}{1+x}\mathrm dx$

Saw this post and noted that it was posted back in 2013. Just tried V11.3 and got no analytic solution. Just wondering if there is a way for Mathematica to give the desired result? Machine VS Human ...
• 1,642
130 views

### Trigonometric integral with assumptions fails

Consider the following integral Assuming[Element[{n, m}, Integers] && n >= 0, Integrate[Cos[ϕ]^n Exp[I ϕ m], {ϕ, 0, 2 π}]] ...
• 12k
420 views

### Implementing positivity constraints over a six-dimensional hypercube

This question involves the same subject matter as my previous one (How can one achieve the most accurate estimates of certain six-dimensional integrals under specific constraints?), but with another (...
• 2,335
180 views

### Integral Representation of DiracDelta

I would like to get dirac delta from integral definition, of course if I ask Integrate[Exp[I x t],{x,-Infinity,Infinity}] I get that the integral does not ...
• 909