∫x/(√2-3x^2 )dx
来源:学生作业帮助网 编辑:作业帮 时间:2024/09/02 16:54:26
![∫x/(√2-3x^2 )dx](/uploads/image/z/4344220-28-0.jpg?t=%E2%88%ABx%2F%28%E2%88%9A2-3x%5E2+%29dx)
x){ԱB_Q,#]8#͔
"}v6u%R4"F(Y]C}c0!Ep)<
sj(h<Ɏ] @M<;.aU|
∫x/(√2-3x^2 )dx
∫x/(√2-3x^2 )dx
∫x/(√2-3x^2 )dx
=∫d(x^2/2)/(√2-3x^2 )
=-1/3 ∫d(-3x^2/2)/(√2-3x^2 )
=-1/3 ∫d(√2-3x^2/2)/(√2-3x^2 )
=-1/3 ln|√2-3x^2/2| (因为∫dx/x=ln|x|)