InterviewSolution
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InterviewSolution
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`int(1/sqrt(9-25x^2))` dxA. `sin^(-1)((5x)/(3))+C`B. `(3)/(2)sin^(-1)((5x)/(3))+C`C. `(1)/(5)sin^(-1)((5x)/(3))+C`D. None of these |
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Answer» Correct Answer - C `int(dx)/(sqrt(9-25x^(2)))=int(dx)/(sqrt(25[((3)/(5))^(2)-x^(2)]))=(1)/(5)int(dx)/(sqrt([((3)/(5))^(2)-x^(2)]))` `=(1)/(5)sin^(-1)((x)/(3//5))+C` `=(1)/(5)sin^(-1)((5x)/(3))+C` |
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