Solved

Evaluate the Integral by Making a Substitution and Then Using xdx25x2+20x+4\int \frac { x d x } { 25 x ^ { 2 } + 20 x + 4 }

Question 166

Multiple Choice

Evaluate the integral by making a substitution and then using a table of integrals.
- xdx25x2+20x+4\int \frac { x d x } { 25 x ^ { 2 } + 20 x + 4 }


A) 15ln(5x2+2x) \frac { 1 } { 5 } \ln \left( 5 x ^ { 2 } + 2 x \right)
B) 14[ln(2x+5) +52x+5]+C\frac { 1 } { 4 } \left[ \ln ( 2 x + 5 ) + \frac { 5 } { 2 x + 5 } \right] + C
C) x5225ln(5x+2) +C\frac { x } { 5 } - \frac { 2 } { 25 } \ln ( 5 x + 2 ) + C
D) 125[ln(5x+2) +25x+2]+C\frac { 1 } { 25 } \left[ \ln ( 5 x + 2 ) + \frac { 2 } { 5 x + 2 } \right] + C

Correct Answer:

verifed

Verified

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

Related Questions