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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
CBSE 12-science - Maths
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integral fraction numerator sin x times cos x over denominator square root of 1 plus sin squared end root x end fraction d x
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CBSE 12-science - Maths
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
ANSWERED BY EXPERT
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i n t e g r a t e space integral sin to the power of negative 1 end exponent square root of fraction numerator x over denominator a plus x end fraction space end root space d x
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