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The number (before integration) would be written out as simply x^(3/2). The power rule tells us that derivative of x^n=n*x^(n-1). To integrate, just try doing this backwards.
The exponent would have to be 5/2, but the derivative of x^(5/2) is 5/2*x^(3/2). To fix this problem, just multiply the number 2/5, reducing the coefficient of your number before integration one as it should be.
S(x*√x)=2/5*x^(5/2)+c
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