wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

For the integral dxx2+3x4 ,Which Euler's substitution should be used?

A
First
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Third
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Second
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Cant be solved using Euler's substitu
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is D Third
Consider the polynomial in the denominator x2+3x4. The radicand is (x+4)(x1). That is the polynomial has real zeroes.
We know that, "if the polynomial ax2+bx+c has real zeroes α,β then we choose third substitution of Euler to simplify the integral.
Since, we have real zeroes for the polynomial in the integrand, the Euler's substitution to be used is third.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Expression formation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon