Find the Integral Using an Appropriate Trigonometric Substitution $$\int x \sqrt { 1 - x ^ { 2 } } d x$$

question 66

Short Answer

Find the integral using an appropriate trigonometric substitution.
$$\int x \sqrt { 1 - x ^ { 2 } } d x$$

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Definitions:

Electrolytes

Minerals in the body that have an electric charge, crucial for hydrating the body, regulating nerve and muscle function, balancing blood acidity and pressure.

Ions

Atoms or molecules with a net electric charge due to the loss or gain of one or more electrons.

Solution

A homogeneous mixture composed of two or more substances, where the solute is dissolved in the solvent.

Adrenal Cortex

The outer layer of the adrenal glands that produces steroid hormones such as cortisol and aldosterone, which regulate metabolism and blood pressure.