Question
Evaluate the integrals.$$\int_{0}^{2} \frac{d x}{8+2 x^{2}}$$
Step 1
Let $x = \sqrt{2} \tan{\theta}$, then $dx = \sqrt{2} \sec^2{\theta} d\theta$. The limits of integration also change accordingly. When $x=0$, $\theta=0$ and when $x=2$, $\theta=\frac{\pi}{4}$. Show more…
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