The given function is 2x root(x). Now by indices we can write, 2x x^1/2 = 2x^3/2
Thus,
integration 2x root x =2 integration x^3/2 = 2 x^5/2 / (5/2) = (4/5) x^5/2
I hope this answer helps. All the very best for your future endeavors!
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