nilai dari integral b sampai a 2/x2 dx

jawab


(b..a)∫ 2/(x²) dx
(b..a)∫ 2 x⁻² dx
= 2/(-1) x⁻¹ ](b..a)
= [- 2/x ] (b..a)

= (- 2/a)  - (- 2/b)
= -2/a + 2/b
= (- 2b + 2a) /(a b)
= 2( a - b) / (ab)