Assignment:
Evaluate the following definite and indefinite integrals:
(1) The integral of (2x)/([x^2]+1)dx
(2) The integral of [(arctan(x))/([x^2]+1)]dx
(3) The integral of sqrt([x^3]+[1x^5])dx
(4) The integral of (2+x)/([x^2]+1)dx
(5) The integral of (2x)/([x^4]+1)dx
(6) The integral from 0 to 2 of (x)sqrt(4-[x^2])dx
Provide complete and step by step solution for the question and show calculations and use formulas.