Use integration by parts to evaluate the integral $\int \frac { x } { \sqrt { x + 30 } } d x$
A) $\frac { 3 } { 2 } ( x + 30 ) ^ { 1 / 2 } ( x - 60 ) + C$
B) $\frac { 2 } { 3 } ( x + 30 ) ^ { 3 / 2 } ( x - 60 ) + C$
C) $\frac { 2 } { 3 } ( x + 30 ) ^ { 1 / 2 } ( x - 60 ) + C$
D) $\frac { 2 } { 3 } ( x - 30 ) ^ { 1 / 2 } ( x + 60 ) + C$

Question

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The Answer of Use integration by parts to evaluate the integral $\int \frac { x } { \sqrt { x + 30 } } d x$
A) $\frac { 3 } { 2 } ( x + 30 ) ^ { 1 / 2 } ( x - 60 ) + C$
B) $\frac { 2 } { 3 } ( x + 30 ) ^ { 3 / 2 } ( x - 60 ) + C$
C) $\frac { 2 } { 3 } ( x + 30 ) ^ { 1 / 2 } ( x - 60 ) + C$
D) $\frac { 2 } { 3 } ( x - 30 ) ^ { 1 / 2 } ( x + 60 ) + C$

Use Integration by Parts to Evaluate the Integral ∫xx+30dx\int \frac { x } { \sqrt { x + 30 } } d x∫x+30​x​dx

Use Integration by Parts to Evaluate the Integral $\int \frac { x } { \sqrt { x + 30 } } d x$