MCQ
Choose the correct alternative from the following.
`int "dx"/(("x - 8")("x + 7"))`=
Options
`1/15 log |("x" + 2)/("x - 1")|` + c
`1/15 log |("x + 8")/("x + 7")|` + c
`1/15 log |("x - 8")/("x + 7")|` + c
(x - 8)(x - 7) + c
Advertisement Remove all ads
Solution
`1/15 log |("x - 8")/("x + 7")|` + c
Explanation:
Let I = `int "dx"/(("x - 8")("x + 7"))`
`= 1/15 int (15 * "dx")/(("x - 8")("x + 7"))`
`= 1/15 int (("x + 7") - ("x - 8"))/(("x - 8")("x + 7"))` dx
`= 1/15 (int 1/"x - 8" - int 1/"x + 7")` dx
`= 1/15 [log |"x - 8"| - log |"x + 7"|] + "c"`
`= 1/15 log |("x - 8")/("x + 7")|` + c
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads
