Question

True or False: In many applications of definite integrals, the integral is used to compute the total amount of a varying quantity.

Applications of integrals
ANSWERED
asked 2020-10-28
True or False: In many applications of definite integrals, the integral is used to compute the total amount of a varying quantity.

Answers (1)

2020-10-29
Definition used:
The integration of the rate of change of a quantity over an interval [a, b] is the result is the total change of that quantity from ato b.
Description:
Application of definite integrals is used to calculate the total amount of the quantity within the range \(\displaystyle{a}\le{x}\le{b}\) by the definition mentioned above.
Thus, the integral is used to compute the total amount of a varying quantity in many applications.
Therefore, the given statement is true.
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