Find the Value of the Integral $\int _ { 0 } ^ { x / 3 } \sec x \tan x ( 1 + \sec x ) d x$

question 166

Multiple Choice

Find the value of the integral $\int _ { 0 } ^ { x / 3 } \sec x \tan x ( 1 + \sec x ) d x$

• A)4
• B) \(\frac { 5 } { 2 }\)
• C)3
• D) \(\frac { 11 } { 2 }\)
• E) \(\frac { 9 } { 2 }\)
• F)2
• G) \(\frac { 7 } { 2 }\)
• H)5

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Definitions:

Density

This physical property represents the ratio of an object's mass to its volume, showing how tightly matter is packed within it.

Volume

The amount of space that an object or substance occupies, expressed in cubic units.

Density

A measure of mass per unit volume of a substance, commonly expressed in grams per cubic centimeter for solids and liquids, and kilograms per cubic meter for gases.

Volume

The amount of space occupied by an object or substance, often measured in liters, cubic meters, or gallons.