InterviewSolution
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InterviewSolution
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`int(1)/(sqrt(9x-4x^(2)))dx` is equal toA. `(1)/(9)sin^(-1)((9x-8)/(8))+C`B. `(1)/(2)sin^(-1)((8x-9)/(9))+C`C. `(1)/(3)sin^(-1)((9x-8)/(8))+C`D. `(1)/(2)sin^(-1)((9x-8)/(9))+C` |
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Answer» Correct Answer - B `int(1)/(sqrt(9x-4x^(2)))dx=(1)/(sqrt4)int(1)/(sqrt((9)/(4)x-x^(2)))dx` `=(1)/(2)int(1)/(sqrt(-[x^(2)-(9)/(4)x+((9)/(8))^(2)]+((9)/(8))^(2)))dx` `=(1)/(2)int(1)/(sqrt(((9)/(8))^(2)-(x-(9)/(8))^(2)))dx` `=(1)/(2)sin^(-1)((x-(9)/(8))/((9)/(8)))+C` `=(1)/(2)sin^(-1)((8x-9)/(9))+C` |
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