Evaluate the Integral $$\int _ { 0 } ^ { \infty } e ^ { - x } \cos 2 x d x$$

question 71

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { \infty } e ^ { - x } \cos 2 x d x$$

• A) Diverges
• B) \(\frac { 1 } { 5 }\)
• C) 1
• D) \(\frac { 2 } { 5 }\)

---

Definitions:

Brake Drums

Components of a drum brake system in vehicles, consisting of a rotating drum that is forced against brake shoes to create friction and slow the vehicle.

Cooling

The process of removing excess heat from a system or component to prevent overheating and maintain optimal operation.

Fins

Thin, extended surfaces used to increase the area of an object to enhance heat dissipation, common in radiators and heatsinks.

Hydraulic Drum Brake

A type of brake that uses hydraulic pressure to press brake shoes against a drum attached to the wheel, generating friction to stop the vehicle.