The value of _0^1 (1 + e^ - x^2 ) ,dx = - Vidyadip

MCQ

The value of $\int_0^1 {(1 + {e^{ - {x^2}}})} \,dx = $

A
$ - 1$
B
$2$
C
$1 + {e^{ - 1}}$
✓
None of these

✓

Answer

Correct option: D.

None of these

d
(d) $\int_0^1 {dx + \int_0^1 {{e^{ - {x^2}}}dx = 1 + \int_0^1 {{e^{ - {x^2}}}dx} } } $,

but $\int_0^1 {{e^{ - {x^2}}}} dx$ is not integrable.

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