Evaluate the Integral $$\int \frac { \left( \sin ^ { - 1 } x \right) ^ { 2 } } { \sqrt { 1 - x ^ { 2 } } } d x$$

question 70

Multiple Choice

Evaluate the integral.
- $$\int \frac { \left( \sin ^ { - 1 } x \right) ^ { 2 } } { \sqrt { 1 - x ^ { 2 } } } d x$$

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

---

Definitions:

Equivalent Units

A concept in cost accounting used to allocate costs to partially completed units of product, making them comparable to fully completed units.

First Processing Department

The initial stage in a manufacturing process where raw materials start their transformation into final products.

Equivalent Unit

A measure used in cost accounting to express the amount of work done on partially completed goods in terms of fully completed units.

Materials

Raw inputs or supplies used in the manufacturing process to produce goods or services.