Question: 5 Question 5 . The Bessel function of the first kind J(x) can be obtained from the following integral Here m is an integer. We

 5 Question 5 . The Bessel function of the first kind

5 Question 5 . The Bessel function of the first kind J(x) can be obtained from the following integral Here m is an integer. We shall use m = 1, Then (5.2) 0 I. Evaluate the integral in eq. (5.2) numerically for x= 1, 2, 3 and 4 2. You may use any algorithm you wish to compute the integral in eq. (5.2) 3. State which algorithm you choose 4. Compute the values of J1), J1(2), J1(3) and Ji(4) to 4 decimal places. 5. Justify that your answer is accurate to 4 decimal places. 1 4 d.p 24 d.p. 3 4 d.p 4 4 d.p . State which pair of values (z,z+1) brackets a root of the equation Jl (z) = 0

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