# Math Help - Approximation...

1. ## Approximation...

Find the approximation T10 for the integral e^(x) from 5 to 6, and the corresponding error .

2. Originally Posted by jamessmith
Find the approximation T10 for the integral e^(x) from 5 to 6, and the corresponding error .

Does T refer to trapezoidal method? If it does, then you need ten trapezoids.

The step size, or height of each trapezoid is (6-5)/10 = 0.1.

The bases of the first trapezoid are e^5 and e^5.2.
The bases of the second trapezoid are e^5.1 and e^5.2.
...
The bases of the tenth trapezoid are e^5.9 and e^6.

For the error, compare it to the true integral of e^x from x=5 to to x=6.

I hope this helps. Good luck!!