The idealized integral

Calculus Level 5

12x31x6+2x3+9x2+1dx \large \int_1^\infty \frac{2x^3-1}{x^6 + 2x^3 + 9x^2 + 1} \, dx

If the integral above equals to ABcot1(CD) \frac AB \cot^{-1} \left( \frac CD \right) for positive integers A,B,C,DA,B,C,D such that gcd(A,B)=gcd(C,D)=1 \gcd(A,B) = \gcd(C,D) = 1 , evaluate 2(A+B+C+D)2(A+B+C+D) .

×

Problem Loading...

Note Loading...

Set Loading...