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

integration of log(1+x^3)

integration of log(1+x^3)

Grade:12

2 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear Piyush

 I= ∫1* log(1+x^3) dx

intigrate by part  take 1 as second function

I= x log(1+x^3) -∫3x3/(1+x^3)  dx

I= x log(1+x^3) -3∫(x3 +1 -1 )/(1+x^3)  dx

I= x log(1+x^3) --3x +3∫1 /(1+x^3)  dx

now use partial fraction

1 /(1+x^3)  = 1/3(x+1)   + (2-x)/3(x2-x+1)

so intigral become

I= x log(1+x^3) --3x +∫1 /(1+x)  dx  + ∫2-x)/(x2-x+1)  dx

now it is simple intigration

Please feel free to post as many doubts on our discussion forum as you can.
 If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
 We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.

 All the best.
 
Regards,
Askiitians Experts
Badiuddin

 

yogesh gandhi
8 Points
11 years ago

its is frm of 1*log(1+x3) apply product rule ..take log as a 1 function and '1' as second function ....

and solve it........

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