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

1. sin -1 √[x/(x+a)] dx 2. (sin -1 √x - cos -1 √x)/ ??(sin -1 √x + cos -1 √x) dx 3. tan -1 {[√(1+x) - √(1-x)]/[√(1+x) + √(1-x)]} dx



1. sin-1 √[x/(x+a)] dx


2. (sin-1 √x - cos-1 √x)/ ??(sin-1 √x + cos-1 √x) dx


3. tan-1 {[√(1+x) - √(1-x)]/[√(1+x) + √(1-x)]} dx



Grade:11

1 Answers

Abhishek Panhale
16 Points
9 years ago

1. substitute x=a.tan^2t, then solving u get a simplified expression as follows...........(after writing t again in terms of x)

  = int [tan^-1sqrt(x/a)]dx.......................(1)

now put sqrt(x)=t

substitute value of dx in (1) n use byparts........

 

3. put x=sint..............this will help to get rid of roots.........

then u get an expression as,

1/2 int[sin^-1(x)]dx

use byparts..................

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