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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