Avoid usages of obsolete APIs (#2330)

Co-authored-by: Phillip Carter <pcarter@fastmail.com>

content/en/docs/demo/services/cart.md

@@ -18,12 +18,12 @@ with a Redis caching service for fast access to shopping cart data.
 ### Initializing Tracing
 
 OpenTelemetry is configured in the .NET DI container. The
-`AddOpenTelemetryTracing()` builder method is used to configure desired
+`AddOpenTelemetry()` builder method is used to configure desired
 instrumentation libraries, add exporters, and set other options. Configuration
 of the exporter and resource attributes is performed through environment variables.
 
 ```cs
-services.AddOpenTelemetryTracing((builder) => builder
+services.AddOpenTelemetry().WithTracing(builder => builder
     .ConfigureResource(r => r
         .AddTelemetrySdk()
         .AddEnvironmentVariableDetector()
@@ -73,11 +73,11 @@ added.
 ### Initializing Metrics
 
 Similar to configuring OpenTelemetry Traces, the .NET DI container requires a
-call to `AddOpenTelemetryMetrics()`. This builder configures desired
+call to `AddOpenTelemetry()`. This builder configures desired
 instrumentation libraries, exporters, etc.
 
 ```cs
-services.AddOpenTelemetryMetrics(builder => builder
+services.AddOpenTelemetry().WithMetrics(builder => builder
     .ConfigureResource(r => r
         .AddTelemetrySdk()
         .AddEnvironmentVariableDetector()

content/en/docs/instrumentation/net/exporters.md

@@ -23,7 +23,7 @@ services:
 ```csharp
 var builder = WebApplication.CreateBuilder(args);
 
-builder.Services.AddOpenTelemetryTracing(b =>
+builder.Services.AddOpenTelemetry().WithTracing(b =>
 {
     b.AddConsoleExporter()
     // The rest of your setup code goes here too
@@ -57,7 +57,7 @@ services:
 ```csharp
 var builder = WebApplication.CreateBuilder(args);
 
-builder.Services.AddOpenTelemetryTracing(b =>
+builder.Services.AddOpenTelemetry().WithTracing(b =>
 {
     b
     .AddOtlpExporter(opt =>
@@ -149,7 +149,7 @@ services:
 ```csharp
 var builder = WebApplication.CreateBuilder(args);
 
-builder.Services.AddOpenTelemetryTracing(b =>
+builder.Services.AddOpenTelemetry().WithTracing(b =>
 {
     b
     .AddZipkinExporter(o =>
@@ -215,7 +215,7 @@ services:
 ```csharp
 var builder = WebApplication.CreateBuilder(args);
 
-builder.Services.AddOpenTelemetryMetrics(b =>
+builder.Services.AddOpenTelemetry().WithMetrics(b =>
 {
     b
     .AddPrometheusExporter(options =>

content/en/docs/instrumentation/net/getting-started.md

@@ -49,7 +49,7 @@ var serviceVersion = "1.0.0";
 var builder = WebApplication.CreateBuilder(args);
 
 // Configure important OpenTelemetry settings, the console exporter, and instrumentation library
-builder.Services.AddOpenTelemetryTracing(tracerProviderBuilder =>
+builder.Services.AddOpenTelemetry().WithTracing(tracerProviderBuilder =>
 {
     tracerProviderBuilder
         .AddConsoleExporter()
@@ -154,7 +154,7 @@ var builder = WebApplication.CreateBuilder(args);
 var appResourceBuilder = ResourceBuilder.CreateDefault()
     .AddService(serviceName: serviceName, serviceVersion: serviceVersion);
 
-builder.Services.AddOpenTelemetryTracing(tracerProviderBuilder =>
+builder.Services.AddOpenTelemetry().WithTracing(tracerProviderBuilder =>
 {
     tracerProviderBuilder
         .AddConsoleExporter()
@@ -167,7 +167,7 @@ builder.Services.AddOpenTelemetryTracing(tracerProviderBuilder =>
 
 var meter = new Meter(serviceName);
 var counter = meter.CreateCounter<long>("app.request-counter");
-builder.Services.AddOpenTelemetryMetrics(metricProviderBuilder =>
+builder.Services.AddOpenTelemetry().WithMetrics(metricProviderBuilder =>
 {
     metricProviderBuilder
         .AddConsoleExporter()
@@ -356,7 +356,7 @@ var appResourceBuilder = ResourceBuilder.CreateDefault()
 
 // Configure to send data via the OTLP exporter.
 // By default, it will send to port 4318, which the collector is listening on.
-builder.Services.AddOpenTelemetryTracing(tracerProviderBuilder =>
+builder.Services.AddOpenTelemetry().WithTracing(tracerProviderBuilder =>
 {
     tracerProviderBuilder
         .AddOtlpExporter(opt =>
@@ -372,7 +372,7 @@ builder.Services.AddOpenTelemetryTracing(tracerProviderBuilder =>
 
 var meter = new Meter(serviceName);
 var counter = meter.CreateCounter<long>("app.request-counter");
-builder.Services.AddOpenTelemetryMetrics(metricProviderBuilder =>
+builder.Services.AddOpenTelemetry().WithMetrics(metricProviderBuilder =>
 {
     metricProviderBuilder
         .AddOtlpExporter(opt =>

content/en/docs/instrumentation/net/libraries.md

@@ -55,7 +55,7 @@ var serviceVersion = "1.0.0";
 var builder = WebApplication.CreateBuilder(args);
 
 // Configure important OpenTelemetry settings, the console exporter, and instrumentation library
-builder.Services.AddOpenTelemetryTracing(b =>
+builder.Services.AddOpenTelemetry().WithTracing(b =>
 {
     b
     .AddConsoleExporter()

content/en/docs/instrumentation/net/manual.md

@@ -101,7 +101,7 @@ var serviceVersion = "1.0.0";
 var builder = WebApplication.CreateBuilder(args);
 
 // Configure important OpenTelemetry settings, the console exporter
-builder.Services.AddOpenTelemetryTracing(b =>
+builder.Services.AddOpenTelemetry().WithTracing(b =>
 {
     b
     .AddConsoleExporter()

content/en/docs/instrumentation/net/shim.md

@@ -92,7 +92,7 @@ var serviceVersion = "1.0.0";
 var builder = WebApplication.CreateBuilder(args);
 
 // Configure important OpenTelemetry settings, the console exporter, and instrumentation library
-builder.Services.AddOpenTelemetryTracing(tcb =>
+builder.Services.AddOpenTelemetry().WithTracing(tcb =>
 {
     tcb
     .AddSource(serviceName)