HP 35s Scientific 1 π, X, J0 (x) = π ∫0 cos(x sin t)dt

Example: Bessel Function.

The Bessel function of the first kind of order 0 can be expressed as

1 πJ0 (x) = π ∫0 cos(x sin t)dt

Find the Bessel function for x–values of 2 and 3.

Enter the expression that defines the integrand's function:

cos (x sin t )

Keys:	Display:
 
()Ö()
	  
	  
X	
	
	

ÕÕ_  

  



Description:

Clears memory.

Selects Equation mode.

Types the equation.

Terminates the expression and displays its left end. Checksum and length.

Leaves Equation mode.

Now integrate this function with respect to t from zero to π ; x = 2.

Keys:Display:

9() ￿ 



 ∫  _

Description:

Selects Radians mode. Enters the limits of integration (lower limit first).

Displays the function. Prompts for the variable of integration.

Integrating Equations 8-3