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Definite Integration question

2005 · Shift 0 · Q79
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  5. /2005 · Shift 0 · Q79

Definite Integration question

2005 · Shift 0 · Q79

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
If I1=∫012x2dx,I2=∫012x3dx, I3=∫122x2dx{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} } }I1​=0∫1​2x2dx,I2​=0∫1​2x3dx,I3​=1∫2​2x2dx and I4=∫122x3dx{I_4} = \int\limits_1^2 {{2^{{x^3}}}dx}I4​=1∫2​2x3dx then
  1. A
    I2>I1{I_2} \gt {I_1}I2​>I1​
  2. B
    I1>I2{I_1} \gt {I_2}I1​>I2​
  3. C
    I3=I4{I_3} = {I_4}I3​=I4​
  4. D
    I3>I4{I_3} \gt {I_4}I3​>I4​
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