AP® Calculus AB-BC

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Difficult

Complete the Square Integral

APCALC-DIHVEO

Evaluate the following:

$$\int { \cfrac { 1 }{ \sqrt { -{ x }^{ 2 }+6x } } } dx$$

A

$\ln { \sqrt{ ( { -x }^{ 2 }+6x )}} +C$

B

$2 \sqrt {( 9-( x-3 ) ^{ 2 } )} +C$

C

$-2 \sqrt {( 9-( x-3 ) ^{ 2 } )} +C$

D

$\arcsin {\dfrac{ x-3}{3}} +C$