Question

If
`\int\limits^6_1` f(x)dx=22 and
`\int\limits^3_6` f(x)dx=10, what is the value of
`\int\limits^3_1` f(x)dx?

Answer 1

32

Explanation:

[1 , 6] = [1 , 3] + [3 , 6]

[6 , 3] = 10

[3 , 6] = -10

22 = [1 , 3] + (-10)

[1 , 3] = 22 + 10 = 32