Let 
be a real continuous monotonic strictly increasing
function on the interval ![[0,a]](/images/equations/YoungsIntegral/Inline2.svg)
with 
and 
, then
 |
where 
is the inverse function. Equality holds iff 
.
Young's Integral
Explore with Wolfram|Alpha
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 1099, 2000.Referenced on Wolfram|Alpha
Young's IntegralCite this as:
Weisstein, Eric W. "Young's Integral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/YoungsIntegral.html