Finding an integral given two other integrals?

[JessicaJ283782]

Homework Statement

It is given that

integral(1 to 2) g(x)dx=22
integral (1 to 4) g(x)dx=7
integral (1 to 16) g(x)dx=13

Find integral (4 to 16)

Homework Equations

Using properties of integrals, integral(4 to 16)= integral(1 to 16) - integral(1 to 4)

The Attempt at a Solution

So, you can ignore the in integral (1 to 2) since it is not in the interval you need to solve for.

Integral(1 to 16) - integral(1 to 4) = 13-7 =6

The integral from (4 to 16) = 6

Am I correct?

 

[Dick]

Homework Statement

It is given that

integral(1 to 2) g(x)dx=22
integral (1 to 4) g(x)dx=7
integral (1 to 16) g(x)dx=13

Find integral (4 to 16)

Homework Equations

Using properties of integrals, integral(4 to 16)= integral(1 to 16) - integral(1 to 4)

The Attempt at a Solution

So, you can ignore the in integral (1 to 2) since it is not in the interval you need to solve for.

Integral(1 to 16) - integral(1 to 4) = 13-7 =6

The integral from (4 to 16) = 6

Am I correct?

Yes, you are.