What common apologetic arguments support the view that it is more likely that Jesus was resurrected than his body was stolen? I am curious as to why Christians think that the resurrection hypothesis is more plausible and probable than any of the many alternative explanations like the body being stolen. 

I look forward to your responses.
I'm going to preface this by reminding the community that whether or not a theory is true is off-topic.  What is taught is what's at hand, and also what's asked. The following is only addressing what is asked: "What reasons are given".  Refrain from debates over what is more "plausible", please.  



Unlike skeptics, Christians are willing to believe in the miraculous, so the idea that an idea sounds "miraculous" or "supernatural" does not automatically, in our minds, disqualify it from being reasonable.  Therefore, we accept the possibility of a single supernatural event as possible, and turn to the remaining evidence.

With that out of the way, the standard Apologetic answer is that the stolen body hypothesis does  not make sense in light of the evidence.  

Excerpts from ChristianAnsers.net:


  Neither the Jewish nor the Roman leaders, who guarded the tomb
  (Matthew 27:62f) would have taken the body. Rather, both had every
  motive to produce the body publicly in order to humiliate the
  disciples and nip their movement in the bud.





  Likewise, is highly unlikely that Jesus' followers could have removed
  the body with a Roman guard protecting the tomb, plus a large stone
  door. And it won't work to charge them with inventing the account of
  the sleeping guards in Matthew. 28:11f. That story would only have
  served as apologetic propaganda had the guards stayed awake.
  
  Why would the disciples (or anyone else) want to risk their lives to
  steal Christ's body? The biblical record shows the disciples were
  scared, discouraged and disheartened. Their only motive could have
  been to deceive. But everything we read about these men indicates they
  were good and honest. How could they have gone out the rest of their
  lives and daily preached that Christ had risen from the dead when they
  knew all along it was a lie? Would they have sacrificed and suffered
  so greatly for something that they know was an outright deception?
  
  It would have been foolish to hide the corpse and fake a resurrection.
  The consequences of their loyalty to Jesus included beatings,
  imprisonments, and even death. No sane person chooses these for what
  they know is false. Under such pressures, liars confess their
  deceptions and betray their cohorts.


Beyond that, Jesus appeared to large groups of people after his death.  From about.com:


  A large crowd of more than 500 eyewitnesses saw the risen Jesus Christ
  at the same time. The Apostle Paul records this event in 1 Corinthians
  15:6. He states that most of these men and women were still alive when
  he wrote this letter, about 55 A.D. Undoubtedly they told others about
  this miracle. Today, psychologists say it would be impossible for a
  large crowd of people to have had the same hallucination at once.
  Smaller groups also saw the risen Christ, such as the apostles, and
  Cleopas and his companion. They all saw the same thing, and in the
  case of the apostles, they touched Jesus and watched him eat food. The
  hallucination theory is further debunked because after the ascension
  of Jesus into heaven, sightings of him stopped.


We can also point to the sudden emergence of courage of the Apostles.  After being a bunch of cowards that scattered to the wind at the crucifixion, they suddenly became brave, and willing to die as martyrs after seeing the resurrected Christ.

Also noted is the conversion of Saul of Tarsus, who went from persecuting Christians to being one of the most prolific authors of the new Testament, and who went through all sorts of hardships in the name of Christ after his encounter with the resurrected Christ.

(These are also documented in the links I gave.)

Note that searching for "Stolen body hypothesis" will give the same basic answer over and over.  Even Wikipedia covers it.