0

Guest

Courses New

how to integrate [x^5(1+x^4)]

how to integrate [x^5(1+x^4)]

Grade:12

3 Answers

SAGAR SINGH - IIT DELHI
878 Points
13 years ago

Dear student,

Let x4=t

then 4x3 dx=dt

Substitute these values and you will easliy integrate it using standard results...

Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.

All the best.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..

 

Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi

PRATIK subramaniyam SAXENA
30 Points
13 years ago

it is ur soln.

x^5(1+x^4) dx

(x^5+x^9) dx

which on integration gives

x^6 .1/6+x^10 .1/10Cool

vikas askiitian expert
509 Points
13 years ago

[1+x4]x5dx = [1+x4]x2x3 dx

put   x4 = t

       4x3dx = dt

now expression is

 [1+t]t1/2 dt/4

[ t1/2+t3/2 ]dt/4

[(2/3)t3/2 + (2/5)t5/2]/4 + C

(2/3)(x6) + (2/5)x10 + 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