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Evaluate the Integral by Making a Substitution and Then Using dxx(36+(lnx)2)\int \frac { d x } { x \left( 36 + ( \ln x ) ^ { 2 } \right) }

Question 90

Multiple Choice

Evaluate the integral by making a substitution and then using a table of integrals.
- dxx(36+(lnx) 2) \int \frac { d x } { x \left( 36 + ( \ln x ) ^ { 2 } \right) }


A) 16tan1(lnx6) +C\frac { 1 } { 6 } \tan ^ { - 1 } \left( \frac { \ln x } { 6 } \right) + C
B) 16sin1(x6) +C\frac { 1 } { 6 } \sin ^ { - 1 } \left( \frac { x } { 6 } \right) + C
C) 16tan1(x6) +C\frac { 1 } { 6 } \tan ^ { - 1 } \left( \frac { \mathrm { x } } { 6 } \right) + \mathrm { C }
D) 16sin1(lnx6) +C\frac { 1 } { 6 } \sin ^ { - 1 } \left( \frac { \ln x } { 6 } \right) + C

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