Welcome to our community

Be a part of something great, join today!

value of k in definite Integration

jacks

Well-known member
Apr 5, 2012
226
Let \(\displaystyle p(x)=2x^6+4x^5+3x^4+5x^3+3x^2+4x+2.\) Let \(\displaystyle \displaystyle I_{k}=\int^{\infty}_{0}\frac{x^k}{p(x)}dx\)

where \(\displaystyle 0<k<5.\) Then value of \(\displaystyle k\) for which \(\displaystyle \displaystyle I_{k}\) is smallest.