The value of ∫1sin3⁡xcos5⁡xdx, is

# The value of $\int \frac{1}{\sqrt{{\mathrm{sin}}^{3}x{\mathrm{cos}}^{5}x}}dx,$ is

1. A

$\frac{-2}{\sqrt{\mathrm{tan}x}}+\frac{2}{3}\left(\mathrm{tan}x{\right)}^{3/2}+C$

2. B

$\frac{2}{\sqrt{\mathrm{tan}x}}-\frac{2}{3}\left(\mathrm{tan}x{\right)}^{3/2}+C$

3. C

$\frac{-2}{\sqrt{\mathrm{tan}x}}+\frac{2}{3}{\left(\mathrm{tan}x\right)}^{1/2}+C$

4. D

none of these

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### Solution:

We have,

[Dividing ${N}^{r}$ and ${D}^{r}$ by ]

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