Evaluate the Integral $$\int \frac { 3 e ^ { 2 t } + 4 e ^ { t } } { e ^ { 2 t } - 10 e ^ { t } + 25 } d t$$

question 34

Multiple Choice

Evaluate the integral.
- $$\int \frac { 3 e ^ { 2 t } + 4 e ^ { t } } { e ^ { 2 t } - 10 e ^ { t } + 25 } d t$$

• A) \(3 \ln \left| \mathrm { e } ^ { \mathrm { t } } - 5 \right| - \frac { 19 } { \mathrm { e } ^ { \mathrm { t } } - 5 } + \mathrm { C }\)
• B) \(3 \ln | t - 5 | - \frac { 19 } { t - 5 } + C\)
• C) \(3 \ln \left| \mathrm { e } ^ { \mathrm { t } } - 5 \right| + \frac { 19 } { \mathrm { e } ^ { \mathrm { t } } - 5 } + \mathrm { C }\)
• D) \(4 \ln \left| \mathrm { e } ^ { \mathrm { t } } - 5 \right| - \frac { 15 } { \mathrm { e } ^ { \mathrm { t } } - 5 } + \mathrm { C }\)

Identify the fields where postmodern theory has made significant contributions.

Understand semiotics and its application across different symbol systems.

Recognize the importance of economy and language in Marxist and Structuralist theory.

Grasp the nuances of power dynamics as elaborated by Michel Foucault.

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