Solved

Express the Integrand as a Sum of Partial Fractions and Evaluate

Question 297

Multiple Choice

Express the integrand as a sum of partial fractions and evaluate the integral.
- x3x2+4x+4dx\int \frac { x ^ { 3 } } { x ^ { 2 } + 4 x + 4 } d x


A) x224x+12lnx+2+8x+2+C\frac { x ^ { 2 } } { 2 } - 4 x + 12 \ln | x + 2 | + \frac { 8 } { x + 2 } + C
B) x224x+6lnx+24x+2+C\frac { x ^ { 2 } } { 2 } - 4 x + 6 \ln | x + 2 | - \frac { 4 } { x + 2 } + C
C) 12lnx4+12x+28(x+2) 2+C12 \ln | x - 4 | + \frac { 12 } { x + 2 } - \frac { 8 } { ( x + 2 ) ^ { 2 } } + C
D) x224x12lnx+2+8(x+2) 2+C\frac { x ^ { 2 } } { 2 } - 4 x - 12 \ln | x + 2 | + \frac { 8 } { ( x + 2 ) ^ { 2 } } + C

Correct Answer:

verifed

Verified

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

Related Questions