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Spelling, Grammar, and General Cleanup, typos fixed: subsitution → substitution, Therefore → Therefore,
:<big><math>\int\frac{2x}{x^2+3}dx=\int\frac{1}{u}du</math></big>
:<big><math>\int\frac{2x}{x^2+3}dx=\int\frac{1}{u}du</math></big>
We can rewrite the integral this way due to the subsitution of the x terms with the u terms.
We can rewrite the integral this way due to the substitution of the x terms with the u terms.
Now we can solve the integral in terms of u.
Now we can solve the integral in terms of u.
:<big><math>1- sin^2\theta=cos^2\theta </math></big>
:<big><math>1- sin^2\theta=cos^2\theta </math></big>
:<big><math>9(1- sin^2\theta)=9cos^2\theta </math></big>
:<big><math>9(1- sin^2\theta)=9cos^2\theta </math></big>
Therefore
Therefore,
:<big><math>\sqrt{9-x^2}=3cos\theta </math></big>
:<big><math>\sqrt{9-x^2}=3cos\theta </math></big>
We are not done yet, we must also take the derivative of :<big><math>3sin\theta</math></big>
We are not done yet, we must also take the derivative of :<big><math>3sin\theta</math></big>
*[http://user.mendelu.cz/marik/maw/index.php?lang=en&form=integral Antiderivative Solver]
*[http://user.mendelu.cz/marik/maw/index.php?lang=en&form=integral Antiderivative Solver]
[[Category:calculus]]
[[Category:Calculus]]
[[Category:integration]]
[[Category:Integration]]