条件应该给错了,上下限应该是1,√2/2
∫ √ (1-x^2)/x^2dx
{x=sint dx=d(sint)=costdt}
=∫ (cost)^2/(sint)^2dt
=∫ (cott)^2dt
=∫ (csct^2-1) dt
=-cott-t
上下限变为 π/2 π/4
条件应该给错了,上下限应该是1,√2/2
∫ √ (1-x^2)/x^2dx
{x=sint dx=d(sint)=costdt}
=∫ (cost)^2/(sint)^2dt
=∫ (cott)^2dt
=∫ (csct^2-1) dt
=-cott-t
上下限变为 π/2 π/4