1.

फलनों का समाकलन कीजिए - (ii)`(1)/(x^(2)-8x+15)`

Answer» माना `I=int(dx)/(x^(2)-8x+15)=int(dx)/((x-3)(x-5))`
`=(1)/(2)int[(1)/((x-5))-(1)/((x-3))]dx`
`" "` (आंशिक भिन्नों में वियोजित करने पर )
`=(1)/(2)int(dx)/((x-5))-(1)/(2)int(dx)/((x-3))`
`=(1)/(2)log((x-5)/(x-3))`
`therefore" "int(dx)/(x^(2)-8x+15)=(1)/(2)log((x-5)/(x-3))`


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