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Integrate: (a) (3)/(2)sqrt3 (b) (3)/...

Integrate:
(a) `(3)/(2)sqrt3`
(b) `(3)/(2sqrtx)`
(c ) `sqrtx+(1)/(sqrtx)`

Text Solution

Verified by Experts

(a). `int(3)/(2)sqrt(xdx)=(3)/(2)(x^((3)/(2)))/((3)/(2))+C=sqrt(x^(3))+C`
(b). `int(3)/(2sqrt(x))dx=(3)/(2).(x^((1)/(2)))/((1)/(2))+C=3sqrt(x)+C`
(c ). `int(sqrt(x)+(1)/(sqrt(x)))dx=(x^((3)/(2)))/((3)/(2))+(x^((1)/(2)))/((3)/(2))+(x^((1)/(2))/((1)/(2))+C=(2 3sqrt(x))/(3)+2sqrt(x)+C`
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