∫[2/pai,+无穷大](1/x^2)sin(1/x) dx=?

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∫[2/pai,+无穷大](1/x^2)sin(1/x)dx=?∫[2/pai,+无穷大](1/x^2)sin(1/x)dx=?∫[2/pai,+无穷大](1/x^2)sin(1/x)dx=?∫[2/

∫[2/pai,+无穷大](1/x^2)sin(1/x) dx=?
∫[2/pai,+无穷大](1/x^2)sin(1/x) dx=?

∫[2/pai,+无穷大](1/x^2)sin(1/x) dx=?
∫[2/pai,+无穷大](1/x^2)sin(1/x) dx
=∫[2/pai,+无穷大]-sin(1/x) d(1/x)
=cos(1/x)| [2/pai,+无穷大]
=cos0-cos(π /2)
=1