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Question:

Evaluate: ∫(1−x)√xdx

Solution:

∫(1−x)√xdx=∫(√x−x√x)dx=∫√xdx−∫x^(3/2)dx=x^(3/2)/(3/2)−x^(5/2)/(5/2)+c=2x^(3/2)/3−2x^(5/2)/5+c