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Evaluate the Integral

Problem

(∫_7^2)(g(x)*d(x))

Solution

  1. Identify the integral expression and its limits of integration, which are a lower limit of 7 and an upper limit of 2

  2. Apply the property of definite integrals that allows for the swapping of limits by changing the sign of the integral.

  3. Rewrite the expression using the property (∫_a^b)(ƒ(x)*d(x))=−(∫_b^a)(ƒ(x)*d(x))

Final Answer

(∫_7^2)(g(x)*d(x))=−(∫_2^7)(g(x)*d(x))


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