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  1. #1
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    Approximation...

    Find the approximation T10 for the integral e^(x) from 5 to 6, and the corresponding error .
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by jamessmith View Post
    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!!
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