cmi-entrance 2010 Q18

cmi-entrance · India · ugmath 8 marks Indefinite & Definite Integrals Integral Inequalities and Limit of Integral Sequences

Prove that $\int _ { 1 } ^ { b } a ^ { \log _ { b } x } d x > \ln b$ where $a , b > 0 , b \neq 1$.

Prove that $\int _ { 1 } ^ { b } a ^ { \log _ { b } x } d x > \ln b$ where $a , b > 0 , b \neq 1$.