Mathematics - Definite Integration Question with Solution | TestHub

$$\begin{array}{rl}& l_1={\int }_0^1{2}^{x^2}dx,l_2={\int }_0^1{2}^{x^3}dx,I_3={\int }_0^1{2}^{x^2}dx,I_4={\int }_0^1{2}^{x^3}dx\\ & \forall 0<x<1,x^2>x^3\\ & \Rightarrow {\int }_0^1{2}^{x^2}dx>{\int }_0^1{2}^{x^3}dx\\ & \Rightarrow I_1>I_2.\end{array}$$