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

7 years ago

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```										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

Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best harshit   Regards, Askiitians Experts Badiuddin
```
7 years ago

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