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.

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Emma

Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.