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Show 1x2+a2dx=1aarctanxa+C\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

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Show 1x2+a2dx=1aarctanxa+C\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=atanθx=a \tan \theta .


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The application of game-design elements and principles in non-game contexts to enhance engagement, motivation, and participation.

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To make a distinction in favor of or against a person or thing based on the group, class, or category rather than according to actual merit; can also refer to the ability to perceive and distinguish differences.

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