5 interval trapezoidal rule integrate sinx cosx on [0,4] - Wolfram|Alpha

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Input interpretation:

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    Result:

    link to /input/?i=0.222505&lk=1&a=ClashPrefs_*Math-
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    Symbolic form of trapezoidal rule:

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    Plot:

    Frame
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    Exact result:

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    Error vs. intervals:

    Frame
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    Method comparisons:

    link to /input/?i=left+endpoint+method+Cos%5Bx%5D+Sin%5Bx%5D+from+0.+to+4.+with+5+intervals&lk=1link to /input/?i=left+endpoint+method+Cos%5Bx%5D+Sin%5Bx%5D+from+0.+to+4.+with+5+intervals&lk=1link to /input/?i=0.0246336&lk=1&a=ClashPrefs_*Math-link to /input/?i=0.261741&lk=1&a=ClashPrefs_*Math-link to /input/?i=0.913981&lk=1&a=ClashPrefs_*Math-link to /input/?i=right+endpoint+method+Cos%5Bx%5D+Sin%5Bx%5D+from+0.+to+4.+with+5+intervals&lk=1link to /input/?i=right+endpoint+method+Cos%5Bx%5D+Sin%5Bx%5D+from+0.+to+4.+with+5+intervals&lk=1link to /input/?i=0.420377&lk=1&a=ClashPrefs_*Math-link to /input/?i=0.134002&lk=1&a=ClashPrefs_*Math-link to /input/?i=0.467925&lk=1&a=ClashPrefs_*Math-link to /input/?i=midpoint+method+Cos%5Bx%5D+Sin%5Bx%5D+from+0.+to+4.+with+5+intervals&lk=1link to /input/?i=0.319367&lk=1&a=ClashPrefs_*Math-link to /input/?i=0.0329922&lk=1&a=ClashPrefs_*Math-link to /input/?i=0.115206&lk=1&a=ClashPrefs_*Math-link to /input/?i=trapezoidal+rule+Cos%5Bx%5D+Sin%5Bx%5D+from+0.+to+4.+with+5+intervals&lk=1link to /input/?i=trapezoidal+rule+Cos%5Bx%5D+Sin%5Bx%5D+from+0.+to+4.+with+5+intervals&lk=1link to /input/?i=0.222505&lk=1&a=ClashPrefs_*Math-link to /input/?i=0.0638697&lk=1&a=ClashPrefs_*Math-link to /input/?i=0.223028&lk=1&a=ClashPrefs_*Math-link to /input/?i=Simpson%27s+rule+Cos%5Bx%5D+Sin%5Bx%5D+from+0.+to+4.+with+5+intervals&lk=1link to /input/?i=Simpson%27s+rule+Cos%5Bx%5D+Sin%5Bx%5D+from+0.+to+4.+with+5+intervals&lk=1link to /input/?i=0.28708&lk=1&a=ClashPrefs_*Math-link to /input/?i=0.000704883&lk=1&a=ClashPrefs_*Math-link to /input/?i=0.0024614&lk=1&a=ClashPrefs_*Math-link to /input/?i=Boole%27s+rule+Cos%5Bx%5D+Sin%5Bx%5D+from+0.+to+4.+with+5+intervals&lk=1link to /input/?i=Boole%27s+rule+Cos%5Bx%5D+Sin%5Bx%5D+from+0.+to+4.+with+5+intervals&lk=1link to /input/?i=0.286372&lk=1&a=ClashPrefs_*Math-link to /input/?i=2.70639x10%5E-6&lk=1&a=ClashPrefs_*Math-link to /input/?i=9.4505x10%5E-6&lk=1&a=ClashPrefs_*Math-
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