Harmonic integral

Calculus Level 4

\[ \large \int_{-1/2}^0 H_ x \, dx = \dfrac ab \gamma - \dfrac cd \ln \pi \]

If the equation above holds true for positive integers \(a,b,c\) and \(d\) with \(\gcd(a,b) = \gcd(c,d) = 1 \), find \(a+b+c+d\).

Notations:

×

Problem Loading...

Note Loading...

Set Loading...