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If 12xf(t)dt=xsin1x\int _ { 1 } ^ { 2 x } f ( t ) d t = x \sin ^ { - 1 } x

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If 12xf(t)dt=xsin1x\int _ { 1 } ^ { 2 x } f ( t ) d t = x \sin ^ { - 1 } x where f is a continuous function, find f (1).

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Definitions:

B. F. Skinner

A pioneering psychologist and behaviorist known for his work on operant conditioning and behavior modification.

Trial and Error

A problem-solving method that involves trying multiple solutions and eliminating those that do not work to find one that does.

Mental Set

A psychological tendency to approach situations in a certain way due to past experiences and problem-solving patterns.

Unnecessary Constraints

Limitations or restrictions that are not essential and might hinder problem solving or creativity by imposing additional, non-critical barriers.

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