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STD 12 - 7.2 definite integral — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 7.2 definite integral1 Mark
MCQ
The value of the definite integral $\int\limits_0^1 {{e^{{e^x}}}(1 + x\,\cdot\,{e^x})dx} $ is equal to
  • ✓
    $e^e$
  • B
    $e^e - e$
  • C
    $e^e - 1$
  • D
    $e$
✓

Answer

Correct option: A.
$e^e$
a
start with $e^x = t$ and use $\int {{e^x}\left( {f(x) + f'(x)} \right)\,dx} $ $= e^x f (x)$

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