Question

Suppose that g is continuous and that and int_4⁷g(x)dx=10 and int_4¹⁰g(x)dx =13 . find int_10⁷g(x)dx?

1) 23
2) -3
3) -23
4) 3
5) 15

Answer 1

We can use the fundamental theorem of calculus to solve this problem. The integral from 10 to 7 of g(x) is equal to 3.

Step-by-step explanation:

We can use the fundamental theorem of calculus to solve this problem. The integral from a to b of a function f(x) represents the area under the curve of f(x) from x = a to x = b. In this case, we are given that the integral from 4 to 7 of g(x) is equal to 10, and the integral from 4 to 10 of g(x) is equal to 13.

To find the integral from 10 to 7 of g(x), we can subtract the integral from 4 to 7 of g(x) from the integral from 4 to 10 of g(x). This gives us 13 - 10 = 3.

Therefore, the integral from 10 to 7 of g(x) is equal to 3. So the answer is 4) 3.