0

Guest

Courses New

evaluate ∫ (1 + sqrt(x))^2/sqrt(x) dx

evaluate
∫ (1 + sqrt(x))^2/sqrt(x) dx

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
I = \int \frac{(1+\sqrt{x})^{2}}{\sqrt{x}}dx
I = \int \frac{(1+x+2\sqrt{x})}{\sqrt{x}}dx
I = \int (x^{-1/2}+\sqrt{x}+2)dx
I = \int x^{-1/2}dx+\int \sqrt{x}+\int 2dx
I = 2\sqrt{x}+\frac{2x^{3/2}}{3}+2x+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