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Why doesn’t the definite integral231-x2dx make sense? (Hint: Think about domains.)

Short Answer

Expert verified

Ans: 1-x2is not defined in [2,3].

Step by step solution

01

Step 1. Given information:

231-x2dx

02

Step 2. Proving: 

The definite integral 231-x2 does not make sense because the function has a domain in [-1,1]. But the limit of the integral is [2,3] which does not come under the domain of the function. That's why 1-x2 is not defined in [2,3].

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