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Definite integral - Leibnitz and Newton's method

1.What are the properties of a definite integral?

Solution:

Leibniz–Newton formula:

Let f(x) be a continuous function on the interval <a,b>, (where a is the lower bound and b is the upper bound of the interval). Then the Leibniz–Newton formula applies:

urcity-integral-leibniz–newtonova-metoda-1


2.Calculate the integrals:

urcity-integral-leibniz–newtonova-metoda-2.gif 

Solution:

urcity-integral-leibniz–newtonova-metoda-2.gif 


3.Calculate the integrals:

urcity-integral-leibniz–newtonova-metoda-3z

Solution:

urcity-integral-leibniz–newtonova-metoda-3r  


4.Calculate the integrals:

urcity-integral-leibniz–newtonova-metoda-4z

Solution:

urcity-integral-leibniz–newtonova-metoda-4r