MathematicsMedium210×since 2002Q3472For 0<a<10 < \mathrm{a} < 10<a<1, the value of the integral \int_\limits0^\pi \frac{\mathrm{d} x}{1-2 \mathrm{a} \cos x+\mathrm{a}^2} is :Aπ2π+a2\frac{\pi^2}{\pi+a^2}π+a2π2Bπ2π−a2\frac{\pi^2}{\pi-a^2}π−a2π2Cπ1−a2\frac{\pi}{1-\mathrm{a}^2}1−a2πDπ1+a2\frac{\pi}{1+\mathrm{a}^2}1+a2πCheck answerSkip