Evaluate ∫ x 2 e − x 3 d x .

Question

Evaluate   ∫      x    2        e          −              x        3              d  x  .

ralharn · Accepted Answer

Given   ∫      x    2        e          −              x        3              d  x  .Applying u Substitution  u  =  −      x    3                d      u              d      x        =  −  3      x    2      d  x  =            −      d      u              3              x        2            Now   ∫      x    2        e          −              x        3              d  x  =    =            −      1        3    ∫      e    u    d  u    =            −              e        u              3  Now, pot   u  =  −      x    3  , and add constant  =            −      1        3        e          −              x        3              +  C

Evaluate int x^2e^(-x^3)dx.

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Answer & Explanation

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