Evaluate the Following Integrals:
(A) $\int \left( e ^ { x } + e ^ { - x } \right) ^ { 2 } d x$

question 72

Essay

Evaluate the following integrals:
(a) $\int \left( e ^ { x } + e ^ { - x } \right) ^ { 2 } d x$ (b) $\int \frac { x + 3 } { \left( x ^ { 2 } + 6 x \right) ^ { 2 } } d x$ (c) $\int \frac { x + 3 } { x ^ { 2 } + 6 x } d x$ (d) $\int _ { - x / 2 } ^ { x / 2 } \frac { x \cos x } { 1 + x ^ { 4 } } d x$

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Definitions:

Product Cost

The total amount incurred to manufacture a product, including direct materials, labor, and overhead expenses.

Machine Operator's Wages

Compensation paid to employees who operate machinery as part of the production process, typically considered direct labor costs.

Direct Labor

The work of factory employees that can be directly associated with converting raw materials into finished goods.

Product Cost

The total cost associated with producing or manufacturing a product, including materials, labor, and overhead.