Question

Why is it not necessary to write down an anti-derivative family when using the Fundamental Theorem of Calculus to calculate definite integrals? In other words, why don’t we have to use “+C”?

Short answer

It is not necessary to write down an anti-derivative family or "+C" when using the Fundamental Theorem of Calculus to calculate definite integrals is because it is a number having the exact value.

Step-by-step solution

Step 1. Given Information.

We have to state why do we not have to write "+C" when using the Fundamental Theorem of Calculus to calculate finite definite integrals.

Step 2. Reason.

In definite integral definite area is concerned with area under the graph and x-axis while the indefinite integrals is concerned with the anti-derivatives.

It is not necessary to write down an anti-derivative family or "+C" when using the Fundamental Theorem of Calculus to calculate definite integrals is because it is a number having the exact value.