All definite integrals evaluate to 0 using periodic functions.
105423
Why doesn't every integral from 0 to $2\pi$ equal zero?
154612
$\int_{0}^{x} f(t) dt \ge {f(x)}$ holds or not on $[0,1]$
87188
Prove that a square-integrable entire function is identically zero
12432
Seemingly impossible double integral reduction
46217
A nasty indefinite integral $ \int \frac{1}{x(x+1)(x+2)(x+3)(x+4) ... (x+m)} dx $
16406
Step-by-step definite integration
48408
Definite Integral of $\sin(\sin x)$
103285
Limit of a periodic function
54297
Is $f(x)=10$ a periodic function?
103485
Antiderivative of periodic function
84942
What is the integral of 0?
54499
How do I show that all continuous periodic functions are bounded and uniform continuous?
119060
What can you say about a continuous function that is zero at all integer values?
19962
Why is $\infty \cdot 0$ not clearly equal to $0$?
78786
Why does an open interval NOT have measure zero?
116044
Can one prove $\int f > 0$ for $f > 0$ without Lebesgue integration?
35754
Is $f(x)=\sin(x^2)$ periodic?