Solved

Find the Indefinite Integral 2x4x2+4x+13dx\int \frac { 2 x - 4 } { x ^ { 2 } + 4 x + 13 } d x

Question 16

Multiple Choice

Find the indefinite integral. 2x4x2+4x+13dx\int \frac { 2 x - 4 } { x ^ { 2 } + 4 x + 13 } d x


A) lnx2+4x+1383arctan(x+23) +C\ln \left| x ^ { 2 } + 4 x + 13 \right| - \frac { 8 } { 3 } \arctan \left( \frac { x + 2 } { 3 } \right) + C
B) lnx2+4x+13+C\ln \left| x ^ { 2 } + 4 x + 13 \right| + C
C) 83arctan(x+23) +C- \frac { 8 } { 3 } \arctan \left( \frac { x + 2 } { 3 } \right) + C
D) lnx2+4x+13+83arctan(x+23) +C\ln \left| x ^ { 2 } + 4 x + 13 \right| + \frac { 8 } { 3 } \arctan \left( \frac { x + 2 } { 3 } \right) + C
E) 83arctan(x+23) +C\frac { 8 } { 3 } \arctan \left( \frac { x + 2 } { 3 } \right) + C

Correct Answer:

verifed

Verified

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

Related Questions