Question

If ∫61f(x)dx=20 and ∫65f(x)dx=3.4, find ∫51f(x)dx.

Answer 1

Answer:

Step-by-step explanation:

∫f(x) dx = F(x)

Now, F(6) - F(1) = 20

F(1) = F(6) - 20 ---(1)

and, F(6) - F(5) = 3.4

F(5) = F(6) - 3.4 ---(2)

We need,

F(5) - F(1)

Substituting 1 and 2,

F(5) - F(1) = F(6) - 3.4 -F(6) + 20 = 20 - 3.4 = 16.6