Show $\int \frac{1}{x^{2}+a^{2}} d x=\frac{1}{a} \arctan \frac{x}{a}+C$ By Integrating the Left Hand Side Using the Substitution

question 111

Essay

Show $\int \frac{1}{x^{2}+a^{2}} d x=\frac{1}{a} \arctan \frac{x}{a}+C$ by integrating the left hand side using the substitution $x=a \tan \theta$ .

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