Sketch the region whose signed area is represented by the definite integral, and evaluate the integral using an appropriate formula from geomety, where needed. int_(-1)^(2)|2x-3|dx

kadejoset 2022-07-31 Answered
Sketch the region whose signed area is represented by the definite integral, and evaluate the integral using an appropriate formula from geomety, where needed.
1 2 | 2 x 3 | d x
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Answers (1)

decoratesuw
Answered 2022-08-01 Author has 11 answers
1 2 | 2 x 3 | d x = 1 3 / 2 ( 2 x 3 ) d x + 3 / 2 2 ( 2 x 3 ) d x
= 25/4 + 1/4 =26/4 = 13/2
| 2 x 3 | = { 1 x > 3 / 2 1 x < 3 / 2
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