Question
$1-82$ Evaluate the integral.$$\int \frac{d \theta}{1+\cos ^{2} \theta}$$
Step 1
Step 1: First, we divide the numerator and denominator of the integral by $\cos^2 \theta$: $$\int \frac{d \theta}{1+\cos ^{2} \theta} = \int \frac{\sec^2 \theta}{\sec^2 \theta + 1} d \theta$$ Show more…
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