Evaluate the Integral $\int \sec ^ { 3 } 9 x d x$

question 213

Multiple Choice

Evaluate the integral.
- $\int \sec ^ { 3 } 9 x d x$

• A) \(\frac { 1 } { 18 } \sec ^ { 2 } 9 x \tan 9 x + \frac { 1 } { 18 } \ln | \sec 9 x + \tan 9 x | + C\)
• B) \(\frac { 1 } { 2 } \sec 9 x \tan 9 x - \frac { 1 } { 2 } \ln | \sec 9 x + \tan 9 x | + C\)
• C) \(\frac { 1 } { 18 } \sec 9 x \tan 9 x + \frac { x } { 18 } + C\)
• D) \(\frac { 1 } { 18 } \sec 9 x \tan 9 x + \frac { 1 } { 18 } \ln | \sec 9 x + \tan 9 x | + C\)

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Definitions:

Figure-Ground Separation

The ability to distinguish an object (the figure) from its background (the ground).

Bottom-Up

An approach or processing that starts with smaller, detailed information and leads to a broader understanding or conclusion.

Incoming Stimulus

An external or internal event or signal that elicits a response from an organism or system.

Reversible And Ambiguous

Reversible and ambiguous refers to visual or linguistic stimuli that can be interpreted in multiple valid ways, often used in psychological studies of perception.