# Definite and indefinite integrals

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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

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##### Solution Summary

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

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