Evaluate the Integral $$\int _ { 0 } ^ { \sqrt { \ln \pi } } 2 x e ^ { x ^ { 2 } } \sin \left( e ^ { x ^ { 2 } } \right) d x$$

question 42

Multiple Choice

Evaluate the integral.
- $$\int _ { 0 } ^ { \sqrt { \ln \pi } } 2 x e ^ { x ^ { 2 } } \sin \left( e ^ { x ^ { 2 } } \right) d x$$

• A) \(- 1\)
• B) \(1 - \cos 1\)
• C) 1
• D) \(1 + \cos 1\)

---

Definitions:

Producers Gain

The increase in total revenue that producers achieve from selling goods or services, typically measured against costs.

Price Elasticity of Demand

Measures how much the quantity demanded of a good responds to a change in the price of that good.

Short-Run Elasticity

Measures the responsiveness of demand or supply to price changes over a short period.

Equilibrium Price

The point in the market where the volume of goods available equals the volume of goods sought by buyers.