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By the Fundamental Theorem of Calculus, the integral of a derivative is simply the function

[g(u)]13=g(3)−g(1)open bracket g of u close bracket sub 1 cubed equals g of 3 minus g of 1 4. Evaluate using table values Using the values provided in the reference table: The final calculation is: 3−10=-73 minus 10 equals negative 7 ✅ Result The value of the definite integral is . 6.9 / 10 ActionAdve...

When performing a substitution on a definite integral, the boundaries must be updated to reflect the new variable If . From the provided data, Upper limit: If . From the provided data, 3. Rewrite and solve the integral The integral is transformed into: ∫13g′(u)duintegral from 1 to 3 of g prime of u d u By the Fundamental Theorem of Calculus, the integral

, we can see that the integrand follows the structure of the chain rule. We set . This means the derivative is 2. Determine the new integration limits From the provided data, Upper limit: If