Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
Close
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

⇐ BackProceed to Checkout ⇒
There are no items in this cart.
Continue Shopping

∫x 5 dx/√(1-x 2 )

∫x5dx/√(1-x2)

Grade:12

2 Answers

Ashwin Muralidharan IIT Madras
290 Points
9 years ago

Hi Suhas,

 

Substitute 1-x^2 = t^2, so that xdx = -tdt

And x^4 = (1-t^2)^2.

 

Integral will be ∫(1-t^2)^2dt.

This is directly integrable, once you expand it.

 

Hope it helps.

 

Best Regards,

Ashwin (IIT MadraS).

rohit dhingra
33 Points
9 years ago
1-x^2/x^5 = -x^3 -x + x/1-x^2 then easily interegrate all these so ans - -X^4/4-X^2/2 + LOG(1-X^2)/2 = CONST.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Integral Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Register ICAT

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