Chapters
Calculate the definite integrals of the following:
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Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Solution of exercise 1
Solution of exercise 2
Solution of exercise 3
Solution of exercise 4
Solution of exercise 5
Solution of exercise 6
, then
v' = 1, then v = x
=
Solution of exercise 7
Calculate the definite integral by change of variable.
Find the new limits of integration.
, ,
, ,
Integrate by parts.
, then
, then
Also, this can be done without transforming the integration limits and returning to the initial variable.