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CBSE Class 12-science Answered

integral space c o t space x space square root of cos e c space x space end root space d x
Asked by keshavvbhutraa | 20 Apr, 2020, 04:26: PM
Expert Answer
To find integral of cot x sqrt{cosec x}
I equals integral c o t space x square root of cos e c space x end root space d x equals integral fraction numerator cos space x over denominator sin space x end fraction cross times fraction numerator 1 over denominator square root of sin space x end root end fraction space d x equals integral fraction numerator cos space x over denominator sin to the power of 3 divided by 2 end exponent x end fraction space d x T a k e space sin space x equals u space rightwards double arrow space cos space x space d x equals d u T h e r e f o r e comma space w e space h a v e I equals integral 1 over u to the power of 3 divided by 2 end exponent d u equals integral u to the power of negative 3 divided by 2 end exponent space d u equals negative 2 over u to the power of 1 divided by 2 end exponent equals negative fraction numerator 2 over denominator square root of sin space x end root end fraction
Answered by Renu Varma | 21 Apr, 2020, 12:00: AM

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