Exercício 6.17. Calcule 1. R arctanx dx 2. R (lnx)2 dx 3. R arcsenx dx 4. R x arctanx dx

1. R arctanx dx = x arctan(x) - (1/2) ln(1 + x^2) + C 2. R (lnx)2 dx = x(ln(x))^2 - 2xln(x) + 2x + C 3. R arcsenx dx = x arcsen(x) + (1/2) ln(1 - x^2) + C 4. R x arctanx dx = (1/2) x^2 arctan(x) - (1/4) ln(1 + x^2) + C