Learn how to evaluate the definite integral with arcsine

The video tutorial explains how to handle inverses, particularly focusing on arcsine. It starts by identifying expressions that suggest the use of inverses, then demonstrates rewriting them using arcsine. The tutorial evaluates arcsine at specific values, discusses domain restrictions, and concludes with the final result of the problem.

What should you start thinking of when you see a rational and a radical expression?

• Exponential growth

• Differentiation

• Integration

• Inverse functions

What is the arcsine of 1/2?

• π/4

• π/6

• π/3

• π/2

Which angle gives a sine value of 0 within the domain restrictions of arcsine?

• π/2

• π

• 0

• π/4

What is the domain restriction for the arcsine function?

• 0 to 2π

• 0 to π

• -π/2 to π/2

• -π to π

What is the final result of the calculation discussed in the video?

• π/4

• π/2

• π/6

• π/3