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Given that dydx=x, f...

Given that dydx=x, find y.

A.

2x32+c

B.

23x32+c

C.

32x32+c

D.

23x2+c

Correct answer is B

dydx=x=x12

y=x12dx

= x12+112+1+c=x3232+c

= 23x32+c