Theory question 103
IntegrationEvaluate: ∫13 (3x − 2)5 dx
Show the model answer
Model answer
Let u = 3x − 2, du = 3 dx; u runs from 1 to 7.
∫ = (1/3)[u⁶/6] from 1 to 7 = (7⁶ − 1)/18 = 117 648/18 = 6536.
Explanation
Change the limits when you substitute.