Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If 10(x21+x14+x7)(2x14+3x7+6)1/7dx=1l(11)m/n where l,m,nN,m and n are coprime then l+m+n is equal to ______

JEE MainJEE Main 2023Integrals

Solution:

(x20+x13+x6)(2x21+3x14+6x7)1/7dx
2x21+3x14+6x7=t
42(x20+x13+x6)dx=dt
142110t17dt=(t8787×142)110
=148(t87)110=148(11)8/7
l=48,m=8,n=7
l+m+n=63