Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

[(tanx)/x].dx

[(tanx)/x].dx

Grade:

3 Answers

Parth Shrivastava
34 Points
8 years ago

This can be integrated by integration by parts
let 1/x=d v
then logx dx =v on integrating
let tanx=u
sec^2xdx=du
 udv = uv-  vdu = logxtanx-  logxsec^2xdx
so tanx/x dx= logxtanx-  ∫ logx sec^2xdx------ (1)


now consider the second term in the RHS
 logx sec^2x dx, again applying by parts technique
let u= logx , du= 1/xdx sec^2x dx= dv , v= tanx on integrating


so this becomes logxtanx- tanx/x dx


substituting in eqn (1)
integral tanx/x dx= logxtanx+logxtan-   tanx/xdx
2 tanx/x dx= 2logxtanx


so tanx/x =logx tanx+c

Ans

jbdjhsfgbr gnjsndvjesr
16 Points
8 years ago

its a very easy question... try teaching something more useful to students....Frown

Anantha padmanabam
26 Points
4 years ago
 
 

let 1/x=d v
then logx dx =v on integrating
let tanx=u
sec^2xdx=du
 udv = uv-  vdu = logxtanx-  logxsec^2xdx
so tanx/x dxlogxtanx-  ∫ logx sec^2xdx------ (1)

 


now consider the second term in the RHS
 logx sec^2x dx, again applying by parts technique
let u= logx , du= 1/xdx sec^2x dx= dv , v= tanx on integrating

 


so this becomes logxtanx- tanx/x dx

 


substituting in eqn (1)

 
After substituting in eqn 1 u will get logx tanx - logx tanx + internal (tanx/x) 
Which will give back the question

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free