Evaluate: 1 9+8x-x^2 dx. - Vidyadip

MCQ

Evaluate$:\ \int\frac{1}{\sqrt{9+8\text{x}-\text{x}^2}}\text{dx}.$

A
$-\sin^{-1}(\frac{\text{x}-4}{5})+\text{c}$
B
$\sin^{-1}(\frac{\text{x}+4}{5})+\text{c}$
✓
$\sin^{-1}(\frac{\text{x}-4}{5})+\text{c}$
D
None of there

✓

Answer

Correct option: C.

$\sin^{-1}(\frac{\text{x}-4}{5})+\text{c}$

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