HTML5 provides several ways to incorporate audio into web pages. Here are some common methods:

1. <audio> Element: The <audio> element is the primary way to embed audio content in HTML5. It supports various audio file formats such as MP3, Ogg, and WAV. Here's a basic example:

   html
   <audio controls>
     <source src="audiofile.mp3" type="audio/mp3">
     Your browser does not support the audio element.
   </audio>
   

   The controls attribute adds play, pause, and volume controls to the audio player.

2. Multiple Sources for Cross-Browser Compatibility: To ensure compatibility across different browsers, you can provide multiple <source> elements with different audio formats:

   html
   <audio controls>
     <source src="audiofile.mp3" type="audio/mp3">
     <source src="audiofile.ogg" type="audio/ogg">
     Your browser does not support the audio element.
   </audio>
   

   The browser will use the first source it supports.

3. Embedded Audio with <embed>: You can use the <embed> element to embed audio files:

   html
   <embed src="audiofile.mp3" autostart="false" loop="false" width="300" height="90">
   

   However, the <embed> tag is not as widely used as the <audio> element.

4. JavaScript API for Audio Control: You can use JavaScript to control audio playback programmatically. For example:

   html
   <audio id="myAudio" src="audiofile.mp3"></audio>
   <button onclick="playAudio()">Play</button>
   <button onclick="pauseAudio()">Pause</button>
   <script>
     var audio = document.getElementById("myAudio");
   
     function playAudio() {
       audio.play();
     }
   
     function pauseAudio() {
       audio.pause();
     }
   </script>
   

   This allows you to customize the playback controls and behavior using JavaScript.

5. Web Audio API: For more advanced audio manipulation, the Web Audio API provides a powerful set of tools for creating, processing, and manipulating audio in the browser. It involves using JavaScript to create and manipulate audio nodes. This is more complex but provides greater flexibility.

   javascript
   var audioContext = new (window.AudioContext || window.webkitAudioContext)();
   var audioElement = document.getElementById('myAudio');
   var audioSource = audioContext.createMediaElementSource(audioElement);
   // Additional audio processing nodes can be added here.
   audioSource.connect(audioContext.destination);
   

   Be sure to check for browser compatibility when using the Web Audio API.

Remember to consider accessibility when using audio on your website and provide alternative content or captions for users who may not be able to hear the audio.