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

What is integration of x^x.....................????

What is integration of x^x.....................????

Grade:12th pass

1 Answers

Umakant biswal
5359 Points
4 years ago
DEAR ABHISHEK
let J = ∫ x^x dx 

take natural logs on both sides
ln(J) = ln ∫ x^x dx = ∫ ln(x^x) dx = ∫ xln(x) dx 
using integration by parts
ln (J) = [((x^2)/2)ln(x)] - ∫ ((x^2)/2)(1/x) dx 
= [((x^2)/2)ln(x)] - ∫ (x/2) dx 
ln (J) = ln[(x^2)/exp]^[(x^2)/4] 
take exponentials on both sides
J = [(x^2)/exp]^[(x^2)/4] + Arbitrary Constant
HOPE IT CLEARS NOW 
REGARDS 

 

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