Vault Of Euclid

Integral of 1/(1+cos x)

Antiderivatives core

Evaluate \( \int \frac{dx}{1+\cos x} \).

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What you need first

Basic trigonometric identities (Pythagorean, reciprocal, quotient)
Standard derivatives and antiderivatives of trigonometric functions
Algebraic manipulation of fractions

What this problem tests

Tests knowledge of trigonometric identities, the conjugate method, and standard trigonometric antiderivatives.

This is a standard calculus problem that tests the student's ability to simplify trigonometric integrands using algebraic tricks before integrating.

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