Exercício 6.57. Calcule as primitivas 1. R dxp 1�x2 2. R x7p 10�x2 dx. 3. R x2p 1�x3 dx 4. R x p 1� x2 dx 5. R xp 3�2x�x2 dx. 6. R x2 p 9� x2 dx

1. R dx/(1-x^2) = (1/2)ln|(x+1)/(x-1)| + C 2. R x^7/(10-x^2) dx = (-1/20)ln|(10-x^2)/x^2| - (1/10)x^2 + C 3. R x^2/(1-x^3) dx = (-1/3)ln|1-x^3| + (1/3)ln|1+x| - (1/3)ln|1-x| + C 4. R x/sqrt(1-x^2) dx = -sqrt(1-x^2) + C 5. R x*sqrt(3-2x-x^2) dx = (-2/3)(3-2x-x^2)^(3/2) + C 6. R x^2/sqrt(9-x^2) dx = (-1/3)(9-x^2)^(3/2) + C