Evaluate the Definite Integral ∫(cos x / (1 + cos x)) dx from 0 to π/2

Math Problem Statement

Evaluate the integral ∫(cos x / (1 + cos x)) dx from 0 to π/2.

The image you provided contains an integral expression:

$\int_0^{\frac{\pi}{2}} \frac{\cos x}{1 + \cos x} \, dx$

This represents the integral of $\frac{\cos x}{1 + \cos x}$ from $0$ to $\frac{\pi}{2}$ .

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Integral Calculus
Trigonometry

∫(cos x / (1 + cos x)) dx
Trigonometric identity: 1 + cos x = 2 cos^2(x/2)
Substitution method in integration

Trigonometric Substitutions
Definite Integral Evaluation

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