If f is continuous for all x, which of the following integrals necessarily have the same value?

B

Step-by-step explanation:

Given the three integrals, we want to determine which integrals necessarily have the same value.

We can let the first integral be itself.

For the second integral, we can perform a u-substitution. Let u = x + a. Then:

Changing our limits of integration:

Thus, the second integral becomes:

For the third integral, we can also perform a u-substitution. Let u = x + c. Then:

And changing our limits of integration:

Thus, our third integral becomes:

Since the only difference between f(x) and f(u) is the variable and both the first and third integral have the same limits of integration, our answer is B.

its d. the first coordintaes are 10,32

step-by-step explanation: