Evaluate: 1 1-e^ 2x dx. - Vidyadip

MCQ

Evaluate: $\int\frac{1}{\sqrt{1-\text{e}^{\text{2x}}}}\text{dx}.$

A
$\log|\text{e}^{-\text{x}}+\sqrt{\text{e}^{2\text{x}}-1}|+\text{c}$
✓
$-\log|\text{e}^{-\text{x}}+\sqrt{\text{e}^{2\text{x}}-1}|+\text{c}$
C
$-\log|\text{e}^{-\text{x}}-\sqrt{\text{e}^{2\text{x}}-1}|+\text{c}$
D
$\text{None of these}$

✓

Answer

Correct option: B.

$-\log|\text{e}^{-\text{x}}+\sqrt{\text{e}^{2\text{x}}-1}|+\text{c}$

$-\log|\text{e}^{-\text{x}}+\sqrt{\text{e}^{2\text{x}}-1}|+\text{c}$

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