Integral of point-wise product of 2 functions greater than product of 2 integrals
62270
Given two increasing continuous functions $f,g$ prove that $(b-a) \int^b_a f(x)g(x) dx > \int^b_a f(x) dx \int^b_a g(x) dx$
109301
Lebesgue Integral of Non-Measurable Function
109942
Find continuous functions such that $f(x+y)+f(x-y)=2[f(x)+f(y)]$
18261
Prove $\int_{a}^{b}{f(x)dx}>0$.
37192
proof of the second generalized mean value theorem for integrals
65539
Inequality involving the integral of vector valued function
130023
Prove that the sum of two continuous functions is continuous
88708
An integration of product $(1-x^n)$
157966
Integrals of Pullbacks
140936
If two integrals are equal, then the functions are the same
19845
Mean Value Theorem for Integrals
95746
Why aren't these additions of integrals and summations equal?
58013
Integral of Even and Odd functions
30694
Show that there exist $[a,b]\subset [0,1]$, such that $\int_{a}^{b}f(x)dx$ = $\int_{a}^{b}g(x)dx$ = $\frac{1}{2}$
155006
Upper bound and lower bound of an integral
98101
why this product is no more than the product of the two mean values?
92934
Triangle inequality for integrals with complex valued integrand