0

Guest

Courses New

integrate the following integral ∫ 1/sqrt(x + 3) – sqrt(x+2) dx

 
integrate the following integral
∫ 1/sqrt(x + 3) – sqrt(x+2) dx

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
Hello Student,
Please find answer to your question below

I = \int \frac{1}{\sqrt{x+3}-\sqrt{x+2}}dx
I = \int \frac{(\sqrt{x+3}+\sqrt{x+2})}{(\sqrt{x+3}-\sqrt{x+2})(\sqrt{x+3}+\sqrt{x+2})}dx
I = \int (\sqrt{x+3}+\sqrt{x+2})dx
I = \int \sqrt{x+3}dx+\int \sqrt{x+2}dx
I = \frac{2(x+3)^{3/2}}{3}+\int \sqrt{x+2}dx
I = \frac{2(x+3)^{3/2}}{3}+\frac{2(x+2)^{3/2}}{3}+c

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