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Integrate the following : int(1)/(1+si...

Integrate the following :
`int(1)/(1+sin theta)d theta`

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AI Generated Solution

To solve the integral \( \int \frac{1}{1 + \sin \theta} \, d\theta \), we can follow these steps: ### Step 1: Rationalize the Denominator We will multiply the numerator and denominator by \( 1 - \sin \theta \): \[ \int \frac{1}{1 + \sin \theta} \, d\theta = \int \frac{1 - \sin \theta}{(1 + \sin \theta)(1 - \sin \theta)} \, d\theta \] ...
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