https://file.aiquickdraw.com/mathbot/file/17257831061444acp694b.jpg

The integral shown in the image is:

\[
\int \frac{\cos x}{1 + \cos x} \, dx
\]

To solve this, let's rewrite the expression using a trigonometric identity for \( \cos x \). We can simplify the denominator using:

\[
1 + \cos x = 2 \cos^2 \left(\frac{x}{2}\right)
\]

This leads to:

\[
\frac{\cos x}{1 + \cos x} = \frac{\cos x}{2 \cos^2 \left(\frac{x}{2}\right)}
\]

We can further manipulate the expression to integrate it more easily. Would you like a detailed step-by-step solution for this integral?

This problem involves integrating cos(x) divided by (1 + cos(x)) using trigonometric identities to simplify the expression. The step-by-step solution applies core calculus and trigonometric concepts suitable for undergraduate calculus students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation