Sometime I forget even the simplest rules of Calculus. :( ten points for step-by-step details!!
sqrt(x) * dx =>
x^(1/2) * dx
Integrate
x^((1/2) + 1) / ((1/2) + 1) + C =>
x^(3/2) / (3/2) + C =>
(2/3) * x^(3/2) + C
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sqrt(x) * dx =>
x^(1/2) * dx
Integrate
x^((1/2) + 1) / ((1/2) + 1) + C =>
x^(3/2) / (3/2) + C =>
(2/3) * x^(3/2) + C