Use a Table of Integrals to Evaluate the Integral $\int x^{3} \sin \left(x^{2}+3\right) d x$

question 18

Multiple Choice

Use a table of integrals to evaluate the integral. $\int x^{3} \sin \left(x^{2}+3\right) d x$

• A) \(\frac{1}{2} \sin \left(x^{2}+\sqrt{3}\right)-\frac{1}{2} x^{2} \cos \left(x^{2}+\sqrt{3}\right)+C\)
• B) \(\frac{1}{2} \sin \left(x^{2}+3\right)-\frac{1}{2} x^{2} \cos \left(x^{2}+3\right)+C\)
• C) \(-\frac{1}{2} \sin \left(x^{2}+\sqrt{3}\right)-\frac{1}{2} x^{2} \cos \left(x^{2}+\sqrt{3}\right)+C\)
• D) \(-\frac{1}{2} \sin \left(x^{2}+3\right)-\frac{1}{2} x^{2} \cos \left(x^{2}+3\right)+C\)

---

Definitions:

Costs Of Production

Costs of production refer to the total expenses incurred in the manufacturing of a product, including raw materials, labor, and overhead.

Marginal Revenue

The additional income received from selling one more unit of a product or service.

Marginal Cost

The expenditure required to create another single unit of a good or service.

Output

The overall quantity of products or services generated by a business, sector, or the economic system.