Determine whether the statement is true or false. if f is continuous on [a, b], then d dx b f(x) dx a = f(x).

Business

1 answer:

uysha [10]2 years ago

8 0

The correct answer is option (b) False.

Differentiation:

Differentiation is a technique for determining a function's derivative. Differentiation is a mathematical procedure for determining the instantaneous rate of change of a function depending on one of its variables.

Explanation:

Given:

A statement is given "If f is continuous on

[a,b], then ddx(∫baf(x)dx)=f(x)".

The objective of the question is to determine whether the statement is true or false and why.

It is known that the value of a definite integral of a function is always a constant. So, ∫baf(x)dx

is a constant.

It is also known that the derivative of a constant is always equal to 1. Therefore, the correct equation is ddx(∫baf(x)dx)=1.

Thus, the given statement is false.

To know more about integration visit

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The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

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