`int(dx)/((sinx-2cosx)(2sinx+cosx))`

1.	`int(dx)/((sinx-2cosx)(2sinx+cosx))`
Answer» Correct Answer - `(1)/(5)log\|(tanx-2)/(2tanx+1)\|+C` `I=int(dx)/((2sin^(2)x-3sinxcosx-2cos^(2)x))`. Now , divide num . And denom , by `cos^(2)` x and put tan x =t.

Discussion

`int (dx)/((4sin^(2)x+5cos^(2)x))=?`
Evaluate `int(sqrt(tanx)+sqrt(cotx))dx`.
Evaluate `intsqrt(cotx)dx`.
`int(x^(2))/((x^(2)+6x-3))dx`
`int(dx)/((1+cos^(2)x))`
`int(dx)/((2+sin^(2)x))`
`int (dx)/((cos ^(2)x-3sin^(2)x))=?`
Evaluate `int(x)/((x^(4)-x^(2)+1))dx`.
Evaluate `int((2x+1))/((4-3x-x^(2)))dx`.
Evaluate: `int1/(a^2sin^2x+b^2cos^2x) dx`