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प्रश्न
Integrate the function:
`sqrt(1- 4x^2)`
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उत्तर
`I = int sqrt(1 - 4x^2)` dx
`= 2 int sqrt(1/4 - x^2)` dx
`= 2 sqrt((1/2)^2 - x^2)` dx
`= 2 [x/2 sqrt((1/2)^2 - x^2) + 1/8 sin^-1 (x/(1//2))] + C`
`= (xsqrt(1 - 4x^2))/2 + 1/4 sin^-1 (2x) + C`
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