Solve the following improper integral. List any values in the domain where the i

Question

Solve the following improper integral. List any values in the domain where the integrand is unbounded Show Answer should be a list of numbers, or left empty if none. What is the indefinite integral of the integrand? Show Answer is an expression in x. What is the definite integral? The integral is divergent The integral converges to Answer is a number, obtained by evaluating Item 2. at appropriate limits.

Explanation / Answer

9-x>0 x0 x>6 i.e. at 6,9 the integrand is unbounded 1. 6,9 2. intergating -2(9-x)^(1/2)+(4/5)(x-6)^(5/4)+c 3. puting limits 6,9 -2(0)+(4/5)3^(5/4)+2*3^(1/2) =(12/5)3^(1/4)+2sqrt(3) or 6.6226

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