Solved

Evaluate the Integral 2x29x2dx\int \frac { 2 x ^ { 2 } } { \sqrt { 9 - x ^ { 2 } } } d x

Question 53

Multiple Choice

Evaluate the integral.
- 2x29x2dx\int \frac { 2 x ^ { 2 } } { \sqrt { 9 - x ^ { 2 } } } d x


A) 9sin1(x3) 9x2+C9 \sin ^ { - 1 } \left( \frac { x } { 3 } \right) - \sqrt { 9 - x ^ { 2 } } + C
B) 9sin1(x3) x9x2+C9 \sin ^ { - 1 } \left( \frac { x } { 3 } \right) - x \sqrt { 9 - x ^ { 2 } } + C
C) 9x23ln3+9x2x+C\sqrt { 9 - x ^ { 2 } } - 3 \ln \left| \frac { 3 + \sqrt { 9 - x ^ { 2 } } } { x } \right| + C
D) 3sin1(x3) x29x2+C- 3 \sin ^ { - 1 } \left( \frac { x } { 3 } \right) - x ^ { 2 } \sqrt { 9 - x ^ { 2 } } + C

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions