Question

Finding the value of an integral using a known value of another integral?

Answer 1

\[\int\limits_{-4.5}^{-2}f(x)dx=-2\]
Find \[\int\limits_{-2}^{-4.5}(3f(x)-1)dx\]

Answer 2

We know that\[\int\limits_{-2}^{-4.5}f(x)dx = 2\]

So,\[\int\limits_{-2}^{-4.5}3f(x)dx = 3\int\limits_{-2}^{-4.5}f(x)dx =6\]

Now, we can calculate
\[-\int\limits_{-2}^{-4.5}1dx = -x ] -4.5 \rightarrow -2 = 2.5\]

Therefore, our answer should be 8.5.

Answer 3

I understand now, thanks for the walkthrough