令x=sint,则dx=cost dt∫（√2/2→1）√(1-x²)/x²dx=∫（π/4→π/2）cost/sin²t·costdt=∫（π/4→π/2）cos²t/sin²t dt=∫（π/4→π/2）cot²t dt=∫（π/4→π/2）(csc²t-1)...