Use a Trigonometric Substitution to Evaluate the Integral $$\int _ { 0 } ^ { \ln 3 } \frac { e ^ { t } d t } { 25 + e ^ { 2 t } }$$

question 194

Multiple Choice

Use a trigonometric substitution to evaluate the integral.
- $$\int _ { 0 } ^ { \ln 3 } \frac { e ^ { t } d t } { 25 + e ^ { 2 t } }$$

• A) -0.069
• B) 0.069
• C) 0.343
• D) 0.043

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Definitions:

Fuel Trim

An adjustment to fuel delivery by the engine control module, based on input from the oxygen sensors.

Fuel Delivery

The system or process responsible for supplying fuel from the fuel tank to the engine's combustion chamber.

Short-Term Fuel Trims

Adjustments made by a vehicle's engine control unit (ECU) to the fuel mixture in response to temporary changes in air/fuel demand.

Long-Term Fuel Trims

Adjustments made by a vehicle's engine control unit to the fuel mixture over an extended period to maintain optimal combustion and efficiency.