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Evaluate the Integral e2θ1+e2θdθ\int \frac { e ^ { 2 \theta } } { 1 + e ^ { 2 \theta } } d \theta

Question 70

Multiple Choice

Evaluate the integral.
- e2θ1+e2θdθ\int \frac { e ^ { 2 \theta } } { 1 + e ^ { 2 \theta } } d \theta


A) 2ln(1+e2θ) +C2 \ln \left( 1 + \mathrm { e } ^ { 2 \theta } \right) + \mathrm { C }
B) ln(1+e2θ) +C\ln \left( 1 + \mathrm { e } ^ { 2 \theta } \right) + C
C) ln(1+2eθ) 2+C\frac { \ln \left( 1 + 2 e ^ { \theta } \right) } { 2 } + C
D) ln(1+e2θ) 2+C\frac { \ln \left( 1 + \mathrm { e } ^ { 2 \theta } \right) } { 2 } + \mathrm { C }

Correct Answer:

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