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Find the Indefinite Integral x225x2+25dx\int \frac { x ^ { 2 } - 25 } { x ^ { 2 } + 25 } d x

Question 152

Multiple Choice

Find the indefinite integral x225x2+25dx\int \frac { x ^ { 2 } - 25 } { x ^ { 2 } + 25 } d x .


A) x325xx3+25x+C\frac { x ^ { 3 } - 25 x } { x ^ { 3 } + 25 x } + C
B)
x10arctan(x5) +Cx - 10 \arctan \left( \frac { x } { 5 } \right) + C
C)
x6arctan(x5) +Cx - 6 \arctan \left( \frac { x } { 5 } \right) + C
D) x375xx3+75x+C\frac { x ^ { 3 } - 75 x } { x ^ { 3 } + 75 x } + C

Correct Answer:

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