Calculate: ∫ − 2 2 sin ⁡ ( x 5 ) e ( x 8 sin ⁡ ( x 4 ) ) d x

Question

Calculate:      ∫          −      2              2        sin  ⁡  (      x    5    )      e          (              x        8            sin      ⁡      (              x        4            )      )        d  x

nelppeazy9v3ie · Accepted Answer

For any odd function,      ∫          x      =      −      a        a    f  (  x  )    d  x  =      ∫          y      =      a              −      a        f  (  −  y  )    (  −  d  y  )  =  −      ∫          y      =      −      a              a        f  (  y  )    d  y  ,then   I  =  −  I  =  0.

Direkotogbkmn · Accepted Answer

Hint:  I  =      ∫    a    b    f  (  x  )  d  x  =      ∫    a    b    f  (  a  +  b  −  x  )  d  xHere   a  =  −  2  ,  b  =  2

Calculate: <msubsup> ∫ <mrow class="MJX-TeXAtom-ORD"> &#x2212

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