The accompanying figure shows four regions bounded by the graph of y = x sin x: R₁, R₂, R₃, and R₄, whose areas are 1, π - 1, π + 1, and 2π - 1, respectively. (We verify these results later in the text.) Use this information to evaluate the following integrals.

Transcribed Image Text:

УА Area = 1 Area = T + 1 y = x sin x R2 R1 3п х п 2т TT 2 R3 -2 R4 Area = T Area — 2 т — 1 -4 2. TT x sin x dx