How do I understand if an indefinite integral is not solvable in terms of elementary functions?
3978
How can you prove that a function has no closed form integral?
61267
List of functions not integrable in elementary terms
13506
Can an unbounded function have a finite integral?
29076
Two different solutions to integral
21843
Proving a function is not Riemann integrable
21857
Seeking methods to solve: $\int_0^\infty \frac{\ln(t)}{t^n + 1}\:dt$
44681
Inverse of a function's integral
123940
How can one prove the impossibility of writing $ \int e^{x^{2}} \, \mathrm{d}{x} $ in terms of elementary functions?
124997
finding examples for a non negative and continuous function for which the infinite integral is finite but the limit at infinity doesn't exist
145403
Stuck in integration: $\int {\frac{dx}{( 1+\sqrt {x})\sqrt{(x-{x}^2)}}}$
29296
Are there any special rules when making a substitution in an integral?
51216
Different ways to tackle the integral $\int_0^1\sqrt\frac x{1-x}\,dx$
84884
Need help with the integral $\int_{0}^\infty e^{-x^{2}}x^{2n+1}dx $
158760
How calculate the indefinite integral $\int\frac{1}{x^3+x+1}dx$
120705
How to find integration with Unknown
122579
How does knowing a function as even or odd help in integration ??
125690
Necessary condition for square integrable functions?