Mathematica Solving Integration Problem in Mathematica 6 for Beginners

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The discussion centers on a user's difficulty with integrating a specific expression in Mathematica 6, where the output returns the original expression with the integration symbol, indicating that Mathematica cannot evaluate it. The user compares this with a simpler integral, which evaluates correctly. A key point raised is the need to correct the syntax in the expression, specifically using "Exp" instead of "exp" for the exponential function. This correction is essential for Mathematica to process the integral correctly. The conversation highlights the importance of proper syntax in Mathematica for successful computations, especially for beginners tackling complex integrals.
shehry1
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A beginner to Mathematica's question:

I try to make the following integration in mathematica 6 and I get back the same expression with the integration symbol next to it. Why?
Integrate[exp[-k*z]*BesselJ[0, k*a]* BesselJ[1, k*a], {k, 0, Infinity}]

Integrate[Sin[k], {k, 0, 1}] however gives the correct answer.

Not that it matters, the equation comes in one of Jackson's problems and I have seen solutions on the net that seem to make a jump to the solution saying 'using Mathematica...'
 
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shehry1 said:
A beginner to Mathematica's question:

I try to make the following integration in mathematica 6 and I get back the same expression with the integration symbol next to it. Why?
Integrate[exp[-k*z]*BesselJ[0, k*a]* BesselJ[1, k*a], {k, 0, Infinity}]

Integrate[Sin[k], {k, 0, 1}] however gives the correct answer.

Not that it matters, the equation comes in one of Jackson's problems and I have seen solutions on the net that seem to make a jump to the solution saying 'using Mathematica...'

Try correcting the expression. In particular, the Mathematica command for e^x is

Code:
Exp[x]

and not

Code:
exp[x]
 
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