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Definite and indefinite integrals

Thank you in advance for your help.

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

Solution Summary

This provides several examples of evaluating integrals with fractions, square roots, and arctan.

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