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  3.    \(\int_{0}^{\pi}e^xsinx dx\) with n=6 sub

   \(\int_{0}^{\pi}e^xsinx dx\) with n=6 subdivisions 1) Find the exact value of the integral 2) Approximate the integral...

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Physics

   \(\int_{0}^{\pi}e^xsinxdx\) with n=6 subdivisions

1) Find the exact value of the integral

2) Approximate the integral using the trapezoidal rule, midpointrule and simpson rule.

3) Find the errors using each of these rules

4) For each of these rules, show how large n should be, to bewithin .0001 of the actual answer.

Answer & Explanation Solved by verified expert
3.6 Ratings (320 Votes)
dividing in 6 subdivisions 0 pi6 2pi6 3pi6 4pi6 5pi6 pi hence value of function f ex sin x at these 7 values are f0 0 f1 epi6 sin pi6 084 f2 24655 f3 481 f4 703 f5 686 f6 epi sin pi 0 BY Trapezoidal rule given integral h2 f0 f6 2f1f2f3 f4f5 here h is difference    See Answer
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