1.

Evaluate the following integrals int (1-x) sqrtx dx

Answer»

Solution :`INT(1-X) sqrtx DX = int (sqrtx-xsqrtx)dx`
=`int (x^(1/2)-x^(3/2)dx = x^(1/2+1)/(1/2+1) -x^(3/2+1)/(3/2+1) +C = x^(3/2)/(3/2) - x^(5/2)/(5/2) +c = (2x^(3/2)/3 - (2x^(5/2)/5 +c`


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