1-calculate-f-x-0-2pi-d-x-2-2x-cos-1-0-lt-lt-pi-2-2-explicite-0-2pi-cos-x-2-2xcos-1-2-d-

Question Number 116098 by mathmax by abdo last updated on 30/Sep/20

1) calculate f (x) = \int_{0}^{2 π} \frac{d θ}{x^{2} - 2 x \cos θ + 1} 0 < θ < \frac{π}{2}

2) explicite \int_{0}^{2 π} \frac{\cos θ}{{(x^{2} - 2 xcos θ + 1)}^{2}} d θ