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`        2f(tan2x)+3f(cot2x) =3sin2x + 2cos2x. Find ∫f(ex)dx (limit 0 to ln tan α`
8 years ago

147 Points
```										HI harshit
2f(tan2x)+3f(cot2x) =3sin2x + 2cos2x
or  2f(tan2x)+3f(1/tan2x) =(3tan2x + 2)/(1+tan2x)
0r  2f(tan2x)+3f(1/tan2x) =2/(1+tan2x)  + 3tan2x/(1+tan2x)
let y=tan2x
2f(y)+3f(1/y) =2/(1+y)  + 3/(1+1/y)
compairing we can say
f(y)=1/(1+y)
so f(ex)=1/(1+ex)

Now you can easly intigrate

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8 years ago
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