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Question
If ${I_1} = \int\limits_0^1 {{2^{{x^2}}}dx,{I_2} = \int\limits_0^1 {{2^{{x^3}}}dx,\,{I_3} = \int\limits_1^2 {{2^{{x^2}}}dx} } } $ and ${I_4} = \int\limits_1^2 {{2^{{x^3}}}dx} $ then
${I_2} > {I_1}$
${I_1} > {I_2}$
${I_3} = {I_4}$
${I_3} > {I_4}$

Solution

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