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

Total Price: Rs.

There are no items in this cart.
Continue Shopping
Shinoy Philip Grade: 12

sin (tan-1 x)/1 + x2

please solve the above question


7 years ago

Answers : (6)

AKASH GOYAL AskiitiansExpert-IITD
419 Points

dear Shinoy

put tan-1x = t

(1/1+x2)dx =dt

put this

integral becomes ∫sint dt = -cost + C

                                  = -cos(tan-1x) + C   Answer


All the best.




Please feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..


7 years ago
aditya suman
39 Points

put tan-1x=t

then , dt/dx=1/1+x2

dt=dx/1+x2                _1

now ,sintdx/1+xusing 1

=sintdt=-cost +c=-cos(tan-1x)+c

7 years ago
vikas askiitian expert
510 Points

 I=(sintan-1x) /1+x2

put tan-1x =t

   differentiating wrt x

1/1+x2 dx =dt

I=sintdt=-cost + c

  =-costan-1x + c

7 years ago
arvind ramesh
32 Points

sub tan-1x as t....dt is 1/1+x^2 dx =>intg sint dt =>ans.= -cos(tan-1x)+c;

7 years ago
rajan jha
49 Points

let (tan-1 x)=t


then dt/dxsqrt()=1/1 + x2

then the integration becomes

 sin(t)dt =-cos(t)

=-cos((tan-1 x))

=-cos(sec-1sqrt(1 + x2))

= -cos(cos-1sqrt(1/1+x2))


hence the answer

like my answer?

7 years ago
Souradeep Majumder
80 Points

put tan-1x =z..  then sin-1x dx =dz.  thaen it is in the form integration sinzdz and ans is -cosz+c put z=tan-1x and you will find the value  -cos(tan-1x)+c.


approve my answer..................

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details