0

Guest

Courses New

Intregal of sqrt(x + sqrt(x 2 + 1))dx. Please solve it as soon as possible.

Intregal of sqrt(x + sqrt(x2 + 1))dx. 
Please solve it as soon as possible.

Grade:11

1 Answers

Aditya Gupta
2081 Points
4 years ago
put y= x + sqrt(x2 + 1)
or y – x= sqrt(x2 + 1)
y^2+x^2 – 2xy= x2 + 1
or x= (y – 1/y)/2
so dx= (1+1/y^2)/2 dy
so integral becomes 
sqrt(y)(1+1/y^2)/2 dy
= ½*(y^1/2+y^-3/2)dy, which can easily be integrated.
kindly approve :)

Think You Can Provide A Better Answer ?

Other Related Questions on Integral Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More