An \infty-\infty Integral

Calculus Level 5

Find the value of A+B+CA+B+C, given the following: 1(arcsin(1x)1x)dx=A+lnBπC\int_1^\infty\left(\arcsin\left(\frac{1}{x}\right)-\dfrac{1}{x}\right) \, dx=A+\ln B-\dfrac{\pi}{C}

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