CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If In=tann x dx then which of the following relation is correct -


Solution

The correct option is A
In=tann x dxIn=tann2 x. tan2(x) dx
Or In=tann2 x. (sec2(x)1) dx
Or In=tann2 x. (sec2(x) dxtann2(x) dx....(1)
Let I=tann2 x. (sec2(x) dx
Let’s substitute tan(x) = t
sec2(x). dx=dtI=tn2. dt
Or I=tn1n1
Or I=tann1(x)n1
Substituting I=tann1(x)n1 in 1st equation.
So, we’ll have
In=tann1(x)n1tann2 (x) dx
We can see that the integral tann2 (x) dx is is nothing but In2
So, the relation will be
In=tann1(x)n1In2

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image