Question

Use the trapezium rule with four intervals to find an approximation to:

Answer 1

\[\int\limits_{1}^{17} \log_{10}x dx. \]

Answer 2

giving your answer correct to 3 significant figures. Teacher barely went over this with me, so need a little help to get started.

Answer 3

I assume you first find the interval width?

Answer 4

@satellite73

Answer 5

So far I have the interval width as 4.
(17-1)/4 = 4.

Answer 6

@zepdrix

Answer 7

The width of each trapezoid will be 4?
Mmmm ok looks good so far.

Answer 8

For the first x value, is it always the bottom limit? In this case, 1?

Answer 9

Yes.