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A hint to get started

Use horizontal strips for an inverse-sine boundary

Find the value of the area of the region bounded by y=sin⁡−1xy=\sin^{-1}x and the lines x=0x=0, y=−π/4y=-\pi/4 and y=π/3y=\pi/3.

CJC · Lecture · Example 10

The Student working is blank; the Teacher supplies x=sin y, both signed integrals and 0.793 to 3 sf. Teacher-only bound lines and shading are integrated into the sketch and split.

Both copies say a calculator may use the dummy variable x instead of y in radian mode. The exact expression here is an independently authored check of the printed decimal.

Read the worked solution