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ankit sharma Grade: 12
`        integral  sqrt(1-cos(ax)) dx`
7 years ago

## Answers : (1)

Rathod Shankar AskiitiansExpert-IITB
69 Points
```										cos(2ax)=1-2sin2(ax)  cos(ax)=1-2sin2(ax/2)  1-cos(ax)=2sin2(ax/2)  sqrt(1-cos(x))=+[sqrt(2)] * sin(x/2)  or -[sqrt(2)] * sin(x/2)

integral  sqrt(1-cos(ax)) dx =integral{ [sqrt(2)] * sin(x/2) }dx
= -2 *sqrt(2)*cos(ax/2) +C       or                                             =2*sqrt(2)*cos(ax/2) +C   (use both sines + and -)
```
7 years ago
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