Evaluate the Integral to Six Decimal Places $$\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } } { \sqrt { 64 - x ^ { 2 } } } d x$$

question 59

Short Answer

Evaluate the integral to six decimal places.
$$\int _ { 0 } ^ { 1 } \frac { x ^ { 3 } } { \sqrt { 64 - x ^ { 2 } } } d x$$

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Definitions:

Air

A mixture of gases that constitute the Earth's atmosphere, primarily composed of nitrogen, oxygen, argon, and carbon dioxide.

Unbalanced Reaction

A chemical equation where the number of atoms for each element is not the same on both sides of the equation.

Gunpowder

A mixture of saltpeter (potassium nitrate), sulfur, and charcoal (carbon) that explodes when ignited.

Potassium Nitrate

A chemical compound with the formula KNO3, used as a fertilizer, in food preservation, and in the manufacture of gunpowder.