Help with this calc question?
1 Answer
Feb 8, 2018
Option
Explanation:
One of the properties of definite integrals states that
#int_a^cf(x)dx= int_a^bf(x)dx + int_b^cf(x)dx# if#a ≤ b ≤ c#
We can apply that to this problem. We know that
#int_2^8g(x) dx = int_2^6 g(x)dx+ int_6^8g(x)dx#
Two of the integral values are known, it's just a matter of solving for the third.
#13 = int_2^6 g(x)dx - 3#
#16 = int_2^6g(x)dx#
Now add the constant.
#2 + 16 = 18#
Hopefully this helps!